<?xml version="1.0" encoding="UTF-8"?><xml><records><record><source-app name="Biblio" version="6.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Cipriano, Fernanda</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">On the asymptotic behaviour and stochastic stabilization of second grade fluids</style></title><secondary-title><style face="normal" font="default" size="100%">Stochastics</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">In Press</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://doi.org/10.1080/17442508.2019.1576687</style></url></web-urls></urls><publisher><style face="normal" font="default" size="100%">Taylor &amp; Francis</style></publisher><pages><style face="normal" font="default" size="100%">1-21</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;ABSTRACTIn this article, we study stability properties for two-dimensional non-Newtonian fluids. More precisely, we consider stochastic perturbations of the second grade fluid equations, with Navier slip boundary condition, and analyse the asymptotic behaviour of the solutions as t→+∞. We prove that the strong solutions (in the probability sense) of the stochastic evolutionary equation converge exponentially to the stationary solution in the mean square and almost surely. In addition, we study the stabilization of the deterministic model by introducing a suitable stochastic noise.&lt;/p&gt;
</style></abstract><notes><style face="normal" font="default" size="100%">&lt;p&gt;n/a&lt;/p&gt;
</style></notes></record><record><source-app name="Biblio" version="6.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Cipriano, Fernanda</style></author><author><style face="normal" font="default" size="100%">Diogo Pereira</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">On the existence of optimal and ϵ−optimal feedback controls for stochastic second grade fluids</style></title><secondary-title><style face="normal" font="default" size="100%">Journal of Mathematical Analysis and Applications</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">Feedback optimal control</style></keyword><keyword><style  face="normal" font="default" size="100%">Second grade fluids</style></keyword><keyword><style  face="normal" font="default" size="100%">Stochastic differential equation</style></keyword><keyword><style  face="normal" font="default" size="100%">−Optimal feedback control</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2019</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.sciencedirect.com/science/article/pii/S0022247X19302859</style></url></web-urls></urls><number><style face="normal" font="default" size="100%">2</style></number><volume><style face="normal" font="default" size="100%">475</style></volume><pages><style face="normal" font="default" size="100%">1956 - 1977</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;This article deals with a feedback optimal control problem for the stochastic second grade fluids. More precisely, we establish the existence of an optimal feedback control for the two-dimensional stochastic second grade fluids, with Navier-slip boundary conditions. In addition, using the Galerkin approximations, we show that the optimal cost can be approximated by a sequence of finite dimensional optimal costs, showing the existence of the so-called ϵ−optimal feedback control.&lt;/p&gt;
</style></abstract><notes><style face="normal" font="default" size="100%">n/a</style></notes></record><record><source-app name="Biblio" version="6.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Chemetov, Nikolai</style></author><author><style face="normal" font="default" size="100%">Cipriano, Fernanda</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Optimal control for two-dimensional stochastic second grade fluids</style></title><secondary-title><style face="normal" font="default" size="100%">STOCHASTIC PROCESSES AND THEIR APPLICATIONS</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">Backward stochastic partial differential equations</style></keyword><keyword><style  face="normal" font="default" size="100%">Necessary optimality condition}</style></keyword><keyword><style  face="normal" font="default" size="100%">Stochastic optimal control</style></keyword><keyword><style  face="normal" font="default" size="100%">{Stochastic second grade fluids</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2018</style></year><pub-dates><date><style  face="normal" font="default" size="100%">{AUG}</style></date></pub-dates></dates><number><style face="normal" font="default" size="100%">{8}</style></number><publisher><style face="normal" font="default" size="100%">{ELSEVIER SCIENCE BV}</style></publisher><pub-location><style face="normal" font="default" size="100%">{PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS}</style></pub-location><volume><style face="normal" font="default" size="100%">128</style></volume><pages><style face="normal" font="default" size="100%">2710-2749</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;{This article deals with a stochastic control problem for certain fluids of non-Newtonian type. More precisely, the state equation is given by the two-dimensional stochastic second grade fluids perturbed by a multiplicative white noise. The control acts through an external stochastic force and we search for a control that minimizes a cost functional. We show that the Gateaux derivative of the control to state map is a stochastic process being the unique solution of the stochastic linearized state equation. The well-posedness of the corresponding stochastic backward adjoint equation is also established, allowing to derive the first order optimality condition. (C) 2017 Elsevier B.V. All rights reserved.}&lt;/p&gt;
</style></abstract><work-type><style face="normal" font="default" size="100%">{Article}</style></work-type><notes><style face="normal" font="default" size="100%">&lt;p&gt;n/a&lt;/p&gt;
</style></notes></record><record><source-app name="Biblio" version="6.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Cipriano, Fernanda</style></author><author><style face="normal" font="default" size="100%">Costa, Tiago</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">A large deviations principle for stochastic flows of viscous fluids</style></title><secondary-title><style face="normal" font="default" size="100%">JOURNAL OF DIFFERENTIAL EQUATIONS</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">Euler equations</style></keyword><keyword><style  face="normal" font="default" size="100%">Lagrangian flows</style></keyword><keyword><style  face="normal" font="default" size="100%">Large deviations principle}</style></keyword><keyword><style  face="normal" font="default" size="100%">Stochastic differential equations</style></keyword><keyword><style  face="normal" font="default" size="100%">Stochastic flows</style></keyword><keyword><style  face="normal" font="default" size="100%">{Navier-Stokes equations</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2018</style></year><pub-dates><date><style  face="normal" font="default" size="100%">{APR 15}</style></date></pub-dates></dates><number><style face="normal" font="default" size="100%">{8}</style></number><publisher><style face="normal" font="default" size="100%">{ACADEMIC PRESS INC ELSEVIER SCIENCE}</style></publisher><pub-location><style face="normal" font="default" size="100%">{525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA}</style></pub-location><volume><style face="normal" font="default" size="100%">264</style></volume><pages><style face="normal" font="default" size="100%">5070-5108</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;{We study the well-posedness of a stochastic differential equation on the two dimensional torus T-2, driven by an infinite dimensional Wiener process with drift in the Sobolev space L-2 (0, T; H-1 (T-2)). The solution corresponds to a stochastic Lagrangian flow in the sense of DiPerna Lions. By taking into account that the motion of a viscous incompressible fluid on the torus can be described through a suitable stochastic differential equation of the previous type, we study the inviscid limit. By establishing a large deviations principle, we show that, as the viscosity goes to zero, the Lagrangian stochastic Navier-Stokesflow approaches the Euler deterministic Lagrangian flow with an exponential rate function. (c) 2018 Elsevier Inc. All rights reserved.}&lt;/p&gt;
</style></abstract><work-type><style face="normal" font="default" size="100%">{Article}</style></work-type><notes><style face="normal" font="default" size="100%">&lt;p&gt;n/a&lt;/p&gt;
</style></notes></record><record><source-app name="Biblio" version="6.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Chemetov, Nikolai</style></author><author><style face="normal" font="default" size="100%">Cipriano, Fernanda</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Injection-suction control for two-dimensional Navier-Stokes  equations with slippage</style></title><secondary-title><style face="normal" font="default" size="100%">SIAM JOURNAL ON CONTROL AND OPTIMIZATION</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">Navier slip boundary conditions</style></keyword><keyword><style  face="normal" font="default" size="100%">optimal control}</style></keyword><keyword><style  face="normal" font="default" size="100%">{Navier-Stokes equations</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2018</style></year></dates><number><style face="normal" font="default" size="100%">{2}</style></number><publisher><style face="normal" font="default" size="100%">{SIAM PUBLICATIONS}</style></publisher><pub-location><style face="normal" font="default" size="100%">{3600 UNIV CITY SCIENCE CENTER, PHILADELPHIA, PA 19104-2688 USA}</style></pub-location><volume><style face="normal" font="default" size="100%">56</style></volume><pages><style face="normal" font="default" size="100%">1253-1281</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;{We consider a velocity tracking problem for the Navier-Stokes equations in a 2D bounded domain. The control acts on the boundary through an injection-suction device, and the flow is allowed to slip against the surface wall. We study the well-posedness of the state equations, linearized state equations, and adjoint equations. In addition, we show the existence of an optimal solution and establish the first order optimality condition.}&lt;/p&gt;
</style></abstract><work-type><style face="normal" font="default" size="100%">{Article}</style></work-type><notes><style face="normal" font="default" size="100%">&lt;p&gt;n/a&lt;/p&gt;
</style></notes></record><record><source-app name="Biblio" version="6.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Chemetov, Nikolai</style></author><author><style face="normal" font="default" size="100%">Cipriano, Fernanda</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Well-posedness of stochastic second grade fluids</style></title><secondary-title><style face="normal" font="default" size="100%">JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">Solvability</style></keyword><keyword><style  face="normal" font="default" size="100%">stability</style></keyword><keyword><style  face="normal" font="default" size="100%">Stochastic}</style></keyword><keyword><style  face="normal" font="default" size="100%">{Second grade fluid</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2017</style></year><pub-dates><date><style  face="normal" font="default" size="100%">{OCT 15}</style></date></pub-dates></dates><number><style face="normal" font="default" size="100%">{2}</style></number><publisher><style face="normal" font="default" size="100%">{ACADEMIC PRESS INC ELSEVIER SCIENCE}</style></publisher><pub-location><style face="normal" font="default" size="100%">{525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA}</style></pub-location><volume><style face="normal" font="default" size="100%">454</style></volume><pages><style face="normal" font="default" size="100%">585-616</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;{The theory of turbulent Newtonian fluids shows that the choice of the boundary condition is a relevant issue because it can modify the behavior of a fluid by creating or avoiding a strong boundary layer. In this study, we consider stochastic second grade fluids filling a two-dimensional bounded domain with the Navier-slip boundary condition (with friction). We prove the well-posedness of this problem and establish a stability result. Our stochastic model involves a multiplicative white noise and a convective term with third order derivatives, which significantly complicate the analysis. (C) 2017 Elsevier Inc. All rights reserved.}&lt;/p&gt;
</style></abstract><work-type><style face="normal" font="default" size="100%">{Article}</style></work-type><notes><style face="normal" font="default" size="100%">&lt;p&gt;n/a&lt;/p&gt;
</style></notes></record><record><source-app name="Biblio" version="6.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Cipriano, Fernanda</style></author><author><style face="normal" font="default" size="100%">Torrecilla, Ivan</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Inviscid limit for 2D stochastic Navier-Stokes equations</style></title><secondary-title><style face="normal" font="default" size="100%">STOCHASTIC PROCESSES AND THEIR APPLICATIONS</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">Boundary layer</style></keyword><keyword><style  face="normal" font="default" size="100%">Navier slip boundary conditions</style></keyword><keyword><style  face="normal" font="default" size="100%">Stochastic Euler equations</style></keyword><keyword><style  face="normal" font="default" size="100%">Turbulence}</style></keyword><keyword><style  face="normal" font="default" size="100%">Vanishing viscosity</style></keyword><keyword><style  face="normal" font="default" size="100%">{Stochastic Navier-Stokes equations</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2015</style></year><pub-dates><date><style  face="normal" font="default" size="100%">{JUN}</style></date></pub-dates></dates><number><style face="normal" font="default" size="100%">{6}</style></number><publisher><style face="normal" font="default" size="100%">{ELSEVIER SCIENCE BV}</style></publisher><pub-location><style face="normal" font="default" size="100%">{PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS}</style></pub-location><volume><style face="normal" font="default" size="100%">125</style></volume><pages><style face="normal" font="default" size="100%">2405-2426</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;{We consider stochastic Navier-Stokes equations in a 2D-bounded domain with the Navier with friction boundary condition. We establish the existence and the uniqueness of the solutions and study the vanishing viscosity limit. More precisely, we prove that solutions of stochastic Navier Stokes equations converge, as the viscosity goes to zero, to solutions of the corresponding stochastic Euler equations. (C) 2015 Elsevier B.V. All rights reserved.}&lt;/p&gt;
</style></abstract><work-type><style face="normal" font="default" size="100%">{Article}</style></work-type><notes><style face="normal" font="default" size="100%">&lt;p&gt;n/a&lt;/p&gt;
</style></notes></record><record><source-app name="Biblio" version="6.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Chemetov, N. V.</style></author><author><style face="normal" font="default" size="100%">Cipriano, F.</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Inviscid limit for Navier-Stokes equations in domains with permeable boundaries.</style></title><secondary-title><style face="normal" font="default" size="100%">Appl. Math. Lett.</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2014</style></year></dates><publisher><style face="normal" font="default" size="100%">Elsevier (Pergamon), Oxford</style></publisher><volume><style face="normal" font="default" size="100%">33</style></volume><pages><style face="normal" font="default" size="100%">6–11</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;n/a&lt;/p&gt;
</style></abstract><notes><style face="normal" font="default" size="100%">&lt;p&gt;n/a&lt;/p&gt;
</style></notes></record><record><source-app name="Biblio" version="6.x">Drupal-Biblio</source-app><ref-type>47</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Chemetov, Nikolai</style></author><author><style face="normal" font="default" size="100%">Cipriano, Fernanda</style></author></authors><secondary-authors><author><style face="normal" font="default" size="100%">Ancona, F</style></author><author><style face="normal" font="default" size="100%">Bressan, A</style></author><author><style face="normal" font="default" size="100%">Marcati, P</style></author><author><style face="normal" font="default" size="100%">Marson, A</style></author></secondary-authors></contributors><titles><title><style face="normal" font="default" size="100%">THE INVISCID LIMIT FOR SLIP BOUNDARY CONDITIONS</style></title><secondary-title><style face="normal" font="default" size="100%">HYPERBOLIC PROBLEMS: THEORY, NUMERICS, APPLICATIONS</style></secondary-title><tertiary-title><style face="normal" font="default" size="100%">{AIMS Series on Applied Mathematics}</style></tertiary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">Boundary layer}</style></keyword><keyword><style  face="normal" font="default" size="100%">Euler equations</style></keyword><keyword><style  face="normal" font="default" size="100%">Navier slip boundary conditions</style></keyword><keyword><style  face="normal" font="default" size="100%">Vanishing viscosity</style></keyword><keyword><style  face="normal" font="default" size="100%">{Navier-Stokes equations</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2014</style></year></dates><publisher><style face="normal" font="default" size="100%">Univ Padova, Dipartimento Matematica; Univ Studi Aquila, Dipartimento Matematica Pura Applicata; Univ Padova; Univ Zurich; Univ Basel</style></publisher><pub-location><style face="normal" font="default" size="100%">PO BOX 2604, SPRINGFIELD, MO 65801-2604 USA</style></pub-location><volume><style face="normal" font="default" size="100%">8</style></volume><pages><style face="normal" font="default" size="100%">431-438</style></pages><isbn><style face="normal" font="default" size="100%">{978-1-60133-017-8}</style></isbn><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;We study the inviscid limit for the two dimensional Navier-Stokes equations with non-homogeneous Navier slip boundary condition. We show that the vanishing viscosity limit of Navier-Stokes's solutions verifies the Euler equations with the corresponding Navier slip boundary condition just on the inflow boundary. The convergence result is established with respect to the strong topology of the Sobolev spaces W-p(1), p &amp;gt; 2.&lt;/p&gt;
</style></abstract><notes><style face="normal" font="default" size="100%">&lt;p&gt;14th International Conference devoted to Theory, Numerics and Applications of Hyperbolic Problems (HYP), Padova, ITALY, JUN 24-29, 2012&lt;/p&gt;
</style></notes></record><record><source-app name="Biblio" version="6.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Chemetov, N. V.</style></author><author><style face="normal" font="default" size="100%">Cipriano, F.</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">The Inviscid Limit for the Navier-Stokes Equations with Slip Condition on Permeable Walls</style></title><secondary-title><style face="normal" font="default" size="100%">JOURNAL OF NONLINEAR SCIENCE</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">Boundary layer</style></keyword><keyword><style  face="normal" font="default" size="100%">Euler equations</style></keyword><keyword><style  face="normal" font="default" size="100%">Navier slip boundary conditions</style></keyword><keyword><style  face="normal" font="default" size="100%">Turbulence}</style></keyword><keyword><style  face="normal" font="default" size="100%">Vanishing viscosity</style></keyword><keyword><style  face="normal" font="default" size="100%">{Navier-Stokes equations</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2013</style></year><pub-dates><date><style  face="normal" font="default" size="100%">{OCT}</style></date></pub-dates></dates><number><style face="normal" font="default" size="100%">{5}</style></number><publisher><style face="normal" font="default" size="100%">{SPRINGER}</style></publisher><pub-location><style face="normal" font="default" size="100%">{233 SPRING ST, NEW YORK, NY 10013 USA}</style></pub-location><volume><style face="normal" font="default" size="100%">23</style></volume><pages><style face="normal" font="default" size="100%">731-750</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;{We consider the Navier-Stokes equations in a 2D-bounded domain with general non-homogeneous Navier slip boundary conditions prescribed on permeable boundaries, and study the vanishing viscosity limit. We prove that solutions of the Navier-Stokes equations converge to solutions of the Euler equations satisfying the same Navier slip boundary condition on the inflow region of the boundary. The convergence is strong in Sobolev's spaces , which correspond to the spaces of the data.}&lt;/p&gt;
</style></abstract><work-type><style face="normal" font="default" size="100%">{Article}</style></work-type><notes><style face="normal" font="default" size="100%">&lt;p&gt;n/a&lt;/p&gt;
</style></notes></record><record><source-app name="Biblio" version="6.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Chemetov, N. V.</style></author><author><style face="normal" font="default" size="100%">Cipriano, F.</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Boundary layer problem: Navier-Stokes equations and Euler equations</style></title><secondary-title><style face="normal" font="default" size="100%">NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2013</style></year><pub-dates><date><style  face="normal" font="default" size="100%">{DEC}</style></date></pub-dates></dates><number><style face="normal" font="default" size="100%">{6}</style></number><publisher><style face="normal" font="default" size="100%">{PERGAMON-ELSEVIER SCIENCE LTD}</style></publisher><pub-location><style face="normal" font="default" size="100%">{THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND}</style></pub-location><volume><style face="normal" font="default" size="100%">14</style></volume><pages><style face="normal" font="default" size="100%">2091-2104</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;{This work is concerned with the boundary layer turbulence, which is an outstanding problem in fluid mechanics. We consider an incompressible viscous fluid in 2D domains with permeable walls. The permeability is described by the Yudovich condition. The goal of the article is to study the fluid behavior at vanishing viscosity (large Reynold's numbers). We show that the vanishing viscous limit is a solution of the Euler equations with the Yudovich condition on the inflow region of the boundary. (C) 2013 Elsevier Ltd. All rights reserved.}&lt;/p&gt;
</style></abstract><work-type><style face="normal" font="default" size="100%">{Article}</style></work-type><notes><style face="normal" font="default" size="100%">&lt;p&gt;n/a&lt;/p&gt;
</style></notes></record><record><source-app name="Biblio" version="6.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Chemetov, N. V.</style></author><author><style face="normal" font="default" size="100%">Cipriano, F.</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Boundary layer problem: Navier-Stokes and Euler equations.</style></title><secondary-title><style face="normal" font="default" size="100%">Bol. Soc. Port. Mat.</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2012</style></year></dates><publisher><style face="normal" font="default" size="100%">Sociedade Portuguesa de Matemática, Lisboa</style></publisher><pages><style face="normal" font="default" size="100%">31–34</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;n/a&lt;/p&gt;
</style></abstract><notes><style face="normal" font="default" size="100%">&lt;p&gt;n/a&lt;/p&gt;
</style></notes></record><record><source-app name="Biblio" version="6.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Chemetov, N. V.</style></author><author><style face="normal" font="default" size="100%">Cipriano, F.</style></author><author><style face="normal" font="default" size="100%">Gavrilyuk, S.</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Shallow water model for lakes with friction and penetration</style></title><secondary-title><style face="normal" font="default" size="100%">MATHEMATICAL METHODS IN THE APPLIED SCIENCES</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">flow through the boundary</style></keyword><keyword><style  face="normal" font="default" size="100%">lake equations</style></keyword><keyword><style  face="normal" font="default" size="100%">solvability}</style></keyword><keyword><style  face="normal" font="default" size="100%">Vanishing viscosity</style></keyword><keyword><style  face="normal" font="default" size="100%">viscous-inviscid interaction</style></keyword><keyword><style  face="normal" font="default" size="100%">vortex flows</style></keyword><keyword><style  face="normal" font="default" size="100%">{existence of generalized solutions</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2010</style></year><pub-dates><date><style  face="normal" font="default" size="100%">{APR}</style></date></pub-dates></dates><number><style face="normal" font="default" size="100%">{6}</style></number><publisher><style face="normal" font="default" size="100%">{WILEY-BLACKWELL}</style></publisher><pub-location><style face="normal" font="default" size="100%">{COMMERCE PLACE, 350 MAIN ST, MALDEN 02148, MA USA}</style></pub-location><volume><style face="normal" font="default" size="100%">33</style></volume><pages><style face="normal" font="default" size="100%">687-703</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;{We deduce a shallow water model, describing the motion of the fluid in a lake, assuming inflow-outflow effects across the bottom. This model arises from the asymptotic analysis of the 3D dimensional Navier-Stokes equations. We prove the global in time existence result for this model in a bounded domain taking the nonlinear slip/friction boundary conditions to describe the inflows and outflows of the porous coast and the rivers. The solvability is shown in the class of solutions with L(p)-bounded vorticity for any given p is an element of (1, infinity). Copyright (C) 2009 John Wiley &amp;amp; Sons, Ltd.}&lt;/p&gt;
</style></abstract><work-type><style face="normal" font="default" size="100%">{Article}</style></work-type><notes><style face="normal" font="default" size="100%">&lt;p&gt;n/a&lt;/p&gt;
</style></notes></record><record><source-app name="Biblio" version="6.x">Drupal-Biblio</source-app><ref-type>5</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Cipriano, Fernanda</style></author><author><style face="normal" font="default" size="100%">Gheryani, Soumaya</style></author><author><style face="normal" font="default" size="100%">Ouerdiane, Habib</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">The Gibbs conditioning principle for white noise distributions: interacting and non-interacting cases.</style></title><secondary-title><style face="normal" font="default" size="100%">Quantum probability and infinite dimensional analysis. Proceedings of the 29th conference, Hammamet, Tunisia, October 13–18, 2008</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2010</style></year></dates><publisher><style face="normal" font="default" size="100%">Hackensack, NJ: World Scientific</style></publisher><pages><style face="normal" font="default" size="100%">55–70</style></pages><isbn><style face="normal" font="default" size="100%">978-981-4295-42-0/hbk; 978-981-4295-43-7/ebook</style></isbn><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;n/a&lt;/p&gt;
</style></abstract><notes><style face="normal" font="default" size="100%">&lt;p&gt;n/a&lt;/p&gt;
</style></notes></record><record><source-app name="Biblio" version="6.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Chaari, S.</style></author><author><style face="normal" font="default" size="100%">Cipriano, F.</style></author><author><style face="normal" font="default" size="100%">H.-H. {Kuo}</style></author><author><style face="normal" font="default" size="100%">Ouerdiane, H.</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Surface measures on the dual space of the Schwartz space.</style></title><secondary-title><style face="normal" font="default" size="100%">Commun. Stoch. Anal.</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2010</style></year></dates><number><style face="normal" font="default" size="100%">3</style></number><publisher><style face="normal" font="default" size="100%">Serials Publications, New Delhi, Delhi, India</style></publisher><volume><style face="normal" font="default" size="100%">4</style></volume><pages><style face="normal" font="default" size="100%">467–480</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;n/a&lt;/p&gt;
</style></abstract><notes><style face="normal" font="default" size="100%">&lt;p&gt;n/a&lt;/p&gt;
</style></notes></record><record><source-app name="Biblio" version="6.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Cipriano, F., Ouerdiane, H., Vilela Mendes, R.</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Stochastic Solution of a KPP-Type Nonlinear Fractional Differential Equation</style></title><secondary-title><style face="normal" font="default" size="100%">Fractional Calculus and Applied Analysis</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">26A33</style></keyword><keyword><style  face="normal" font="default" size="100%">76M35</style></keyword><keyword><style  face="normal" font="default" size="100%">82B31</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2009</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://eudml.org/doc/11315</style></url></web-urls></urls><number><style face="normal" font="default" size="100%">1</style></number><publisher><style face="normal" font="default" size="100%">Institute of Mathematics and Informatics Bulgarian Academy of Sciences</style></publisher><volume><style face="normal" font="default" size="100%">12</style></volume><pages><style face="normal" font="default" size="100%">47-56</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;Mathematics Subject Classification: 26A33, 76M35, 82B31A stochastic solution is constructed for a fractional generalization of the KPP (Kolmogorov, Petrovskii, Piskunov) equation. The solution uses a fractional generalization of the branching exponential process and propagation processes which are spectral integrals of Levy processes.&lt;/p&gt;
</style></abstract><notes><style face="normal" font="default" size="100%">n/a</style></notes></record><record><source-app name="Biblio" version="6.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Mendes, R. Vilela</style></author><author><style face="normal" font="default" size="100%">Cipriano, Fernanda</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">A stochastic representation for the Poisson-Vlasov equation</style></title><secondary-title><style face="normal" font="default" size="100%">COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">stochastic representation}</style></keyword><keyword><style  face="normal" font="default" size="100%">{Vlasov equation</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2008</style></year><pub-dates><date><style  face="normal" font="default" size="100%">{FEB}</style></date></pub-dates></dates><number><style face="normal" font="default" size="100%">{1}</style></number><publisher><style face="normal" font="default" size="100%">{ELSEVIER SCIENCE BV}</style></publisher><pub-location><style face="normal" font="default" size="100%">{PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS}</style></pub-location><volume><style face="normal" font="default" size="100%">13</style></volume><pages><style face="normal" font="default" size="100%">221-226</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;{A stochastic representation for the solutions of the Poisson-Vlasov equation is obtained. The representation involves both an exponential and a branching process. The stochastic representation, besides providing an alternative existence proof and an intuitive characterization of the solutions, may also be used to obtain an intrinsic definition of the fluctuations. (c) 2007 Elsevier B.V. All rights reserved.}&lt;/p&gt;
</style></abstract><work-type><style face="normal" font="default" size="100%">{Article; Proceedings Paper}</style></work-type><notes><style face="normal" font="default" size="100%">&lt;p&gt;{2nd International Meeting on the Vlasov Equation, Florence, ITALY, SEP 18-20, 2006}&lt;/p&gt;
</style></notes></record><record><source-app name="Biblio" version="6.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Chaari, S.</style></author><author><style face="normal" font="default" size="100%">Cipriano, F.</style></author><author><style face="normal" font="default" size="100%">Gheryani, Soumaya</style></author><author><style face="normal" font="default" size="100%">Ouerdiane, H.</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Sanov's Theorem for White Noise Distributions and Application to the Gibbs Conditioning Principle</style></title><secondary-title><style face="normal" font="default" size="100%">ACTA APPLICANDAE MATHEMATICAE</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">Gibbs conditioning principle}</style></keyword><keyword><style  face="normal" font="default" size="100%">Large Deviation Principle</style></keyword><keyword><style  face="normal" font="default" size="100%">Sanov's theorem</style></keyword><keyword><style  face="normal" font="default" size="100%">{Positive White Noise distributions</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2008</style></year><pub-dates><date><style  face="normal" font="default" size="100%">{DEC}</style></date></pub-dates></dates><number><style face="normal" font="default" size="100%">{3}</style></number><publisher><style face="normal" font="default" size="100%">{SPRINGER}</style></publisher><pub-location><style face="normal" font="default" size="100%">{VAN GODEWIJCKSTRAAT 30, 3311 GZ DORDRECHT, NETHERLANDS}</style></pub-location><volume><style face="normal" font="default" size="100%">104</style></volume><pages><style face="normal" font="default" size="100%">313-324</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;{We consider a positive distribution Phi such that Phi defines a probability measure mu = mu Phi on the dual of some real nuclear Frechet space. A large deviation principle is proved for the family \{mu(n), n &amp;gt;= 1\} where mu(n) denotes the image measure of the product measure mu(n)(Phi) under the empirical distribution function L(n). Here the rate function I is defined on the space F(theta)'(N')(+) and agrees with the relative entropy function (H) over tilde (Psi/Phi). As an application, we cite the Gibbs conditioning principle which describes the limiting behaviour as n tends to infinity of the law of k tagged particles Y(1),...,Y(k) under the constraint that L(n)(Y) belongs to some subset A(0).}&lt;/p&gt;
</style></abstract><work-type><style face="normal" font="default" size="100%">{Article}</style></work-type><notes><style face="normal" font="default" size="100%">&lt;p&gt;n/a&lt;/p&gt;
</style></notes></record><record><source-app name="Biblio" version="6.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Cipriano, F.</style></author><author><style face="normal" font="default" size="100%">Cruzeiro, A. B.</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Navier-stokes equation and diffusions on the group of homeomorphisms of the torus</style></title><secondary-title><style face="normal" font="default" size="100%">COMMUNICATIONS IN MATHEMATICAL PHYSICS</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2007</style></year><pub-dates><date><style  face="normal" font="default" size="100%">{OCT}</style></date></pub-dates></dates><number><style face="normal" font="default" size="100%">{1}</style></number><publisher><style face="normal" font="default" size="100%">{SPRINGER}</style></publisher><pub-location><style face="normal" font="default" size="100%">{233 SPRING ST, NEW YORK, NY 10013 USA}</style></pub-location><volume><style face="normal" font="default" size="100%">275</style></volume><pages><style face="normal" font="default" size="100%">255-269</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;{A stochastic variational principle for the (two dimensional) Navier-Stokes equation is established. The velocity field can be considered as a generalized velocity of a diffusion process with values on the volume preserving diffeomorphism group of the underlying manifold. Navier-Stokes equation is reinterpreted as a perturbed equation of geodesics for the L (2) norm. The method described here should hold as well in higher dimensions.}&lt;/p&gt;
</style></abstract><work-type><style face="normal" font="default" size="100%">{Article}</style></work-type><notes><style face="normal" font="default" size="100%">&lt;p&gt;n/a&lt;/p&gt;
</style></notes></record><record><source-app name="Biblio" version="6.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Chaari, S.</style></author><author><style face="normal" font="default" size="100%">Cipriano, F.</style></author><author><style face="normal" font="default" size="100%">Ouerdiane, H.</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Large deviation properties of solutions of nonlinear stochastic convolution equations.</style></title><secondary-title><style face="normal" font="default" size="100%">Adv. Theor. Appl. Math.</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2007</style></year></dates><number><style face="normal" font="default" size="100%">1</style></number><publisher><style face="normal" font="default" size="100%">Research India Publications, Delhi, Delhi, India</style></publisher><volume><style face="normal" font="default" size="100%">2</style></volume><pages><style face="normal" font="default" size="100%">1–14</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;n/a&lt;/p&gt;
</style></abstract><notes><style face="normal" font="default" size="100%">&lt;p&gt;n/a&lt;/p&gt;
</style></notes></record><record><source-app name="Biblio" version="6.x">Drupal-Biblio</source-app><ref-type>5</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Cipriano, Fernanda</style></author><author><style face="normal" font="default" size="100%">Ana Bela {Cruzeiro}</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Variational principle for diffusions on the diffeomorphism group with the \(H^2\) metric.</style></title><secondary-title><style face="normal" font="default" size="100%">Mathematical analysis of random phenomena. Proceedings of the international conference, Hammamet, Tunisia, September 12–17, 2005</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2007</style></year></dates><publisher><style face="normal" font="default" size="100%">Hackensack, NJ: World Scientific</style></publisher><pages><style face="normal" font="default" size="100%">85–91</style></pages><isbn><style face="normal" font="default" size="100%">978-981-270-603-4/hbk; 978-981-277-054-7/ebook</style></isbn><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;n/a&lt;/p&gt;
</style></abstract><notes><style face="normal" font="default" size="100%">&lt;p&gt;n/a&lt;/p&gt;
</style></notes></record><record><source-app name="Biblio" version="6.x">Drupal-Biblio</source-app><ref-type>5</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Cipriano, Fernanda</style></author><author><style face="normal" font="default" size="100%">Ana Bela {Cruzeiro}</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Variational principle for diffusions on the diffeomorphism group with the \(H^2\) metric.</style></title><secondary-title><style face="normal" font="default" size="100%">Mathematical analysis of random phenomena. Proceedings of the international conference, Hammamet, Tunisia, September 12–17, 2005</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2007</style></year></dates><publisher><style face="normal" font="default" size="100%">Hackensack, NJ: World Scientific</style></publisher><pages><style face="normal" font="default" size="100%">85–91</style></pages><isbn><style face="normal" font="default" size="100%">978-981-270-603-4/hbk; 978-981-277-054-7/ebook</style></isbn><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;n/a&lt;/p&gt;
</style></abstract><notes><style face="normal" font="default" size="100%">&lt;p&gt;n/a&lt;/p&gt;
</style></notes></record><record><source-app name="Biblio" version="6.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Chemetov, N. V.</style></author><author><style face="normal" font="default" size="100%">Cipriano, F.</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">The 2D Euler equations and the statistical transport equations</style></title><secondary-title><style face="normal" font="default" size="100%">COMMUNICATIONS IN MATHEMATICAL PHYSICS</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2006</style></year><pub-dates><date><style  face="normal" font="default" size="100%">{OCT}</style></date></pub-dates></dates><number><style face="normal" font="default" size="100%">{2}</style></number><publisher><style face="normal" font="default" size="100%">{SPRINGER}</style></publisher><pub-location><style face="normal" font="default" size="100%">{233 SPRING ST, NEW YORK, NY 10013 USA}</style></pub-location><volume><style face="normal" font="default" size="100%">267</style></volume><pages><style face="normal" font="default" size="100%">543-558</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;{We prove the existence of weak solutions for the forward and backward statistical transport equations associated with the 2D Euler equations. Such solutions can be interpreted, respectively, as a statistical Lagrangian and a statistical Eulerian description of the motion of the fluid.}&lt;/p&gt;
</style></abstract><work-type><style face="normal" font="default" size="100%">{Article}</style></work-type><notes><style face="normal" font="default" size="100%">&lt;p&gt;n/a&lt;/p&gt;
</style></notes></record><record><source-app name="Biblio" version="6.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Chaari, S.</style></author><author><style face="normal" font="default" size="100%">Cipriano, F.</style></author><author><style face="normal" font="default" size="100%">Ouerdiane, H.</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Large deviations for infinite dimensional analytical distributions.</style></title><secondary-title><style face="normal" font="default" size="100%">Adv. Theor. Appl. Math.</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2006</style></year></dates><number><style face="normal" font="default" size="100%">3</style></number><publisher><style face="normal" font="default" size="100%">Research India Publications, Delhi, Delhi, India</style></publisher><volume><style face="normal" font="default" size="100%">1</style></volume><pages><style face="normal" font="default" size="100%">173–187</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;n/a&lt;/p&gt;
</style></abstract><notes><style face="normal" font="default" size="100%">&lt;p&gt;n/a&lt;/p&gt;
</style></notes></record><record><source-app name="Biblio" version="6.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Cipriano, F.</style></author><author><style face="normal" font="default" size="100%">Cruzeiro, A. B.</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Flows associated with irregular R-d-vector fields</style></title><secondary-title><style face="normal" font="default" size="100%">JOURNAL OF DIFFERENTIAL EQUATIONS</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">non-smooth vector fields}</style></keyword><keyword><style  face="normal" font="default" size="100%">{ordinary differential equations</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2005</style></year><pub-dates><date><style  face="normal" font="default" size="100%">{DEC 1}</style></date></pub-dates></dates><number><style face="normal" font="default" size="100%">{1}</style></number><publisher><style face="normal" font="default" size="100%">{ACADEMIC PRESS INC ELSEVIER SCIENCE}</style></publisher><pub-location><style face="normal" font="default" size="100%">{525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA}</style></pub-location><volume><style face="normal" font="default" size="100%">219</style></volume><pages><style face="normal" font="default" size="100%">183-201</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;{This work consists on the study of flows associated with non-smooth R-d-vector fields, namely concerning existence and uniqueness for almost-every initial condition. It is also proved that the flows avoid some special compact sets. (c) 2005 Elsevier Inc. All rights reserved.}&lt;/p&gt;
</style></abstract><work-type><style face="normal" font="default" size="100%">{Article}</style></work-type><notes><style face="normal" font="default" size="100%">&lt;p&gt;n/a&lt;/p&gt;
</style></notes></record><record><source-app name="Biblio" version="6.x">Drupal-Biblio</source-app><ref-type>47</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Cipriano, F.</style></author></authors><secondary-authors><author><style face="normal" font="default" size="100%">{Rebolledo, R}</style></author></secondary-authors></contributors><titles><title><style face="normal" font="default" size="100%">A Stochastic variational principle for Burgers equation and its symmetries</style></title><secondary-title><style face="normal" font="default" size="100%">STOCHASTIC ANALYSIS AND MATHEMATICAL PHYSICS II</style></secondary-title><tertiary-title><style face="normal" font="default" size="100%">{TRENDS IN MATHEMATICS}</style></tertiary-title></titles><dates><year><style  face="normal" font="default" size="100%">2003</style></year></dates><publisher><style face="normal" font="default" size="100%">Catedra Presiden Analis Cualitat Sistemas Dinam Cuant; Univ Catol, Direcc Invest Postgrado; FONDECYT; ICCTICONICYT Exchange Programme</style></publisher><pub-location><style face="normal" font="default" size="100%">VIADUKSTRASSE 40-44, PO BOX 133, CH-4010 BASEL, SWITZERLAND</style></pub-location><pages><style face="normal" font="default" size="100%">{29-46}</style></pages><isbn><style face="normal" font="default" size="100%">{3-7643-6997-3}</style></isbn><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;{A stochastic variational principle for the classical Burgers equation is established. A solution of this equation can be considered as the velocity field of a stochastic process which is a minimum of an energy functional. A family of stochastic constants of the motion, determined in terms of the probability distribution of that process, yields the complete list of symmetries of the Burgers equation.}&lt;/p&gt;
</style></abstract><work-type><style face="normal" font="default" size="100%">{Proceedings Paper}</style></work-type><notes><style face="normal" font="default" size="100%">&lt;p&gt;{4th International Workshop on Stochastic Analysis and Mathematical Physics, SANTIAGO, CHILE, JAN 05-11, 2000}&lt;/p&gt;
</style></notes></record><record><source-app name="Biblio" version="6.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Cipriano, F.</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">The two dimensional Euler equation: A statistical study</style></title><secondary-title><style face="normal" font="default" size="100%">COMMUNICATIONS IN MATHEMATICAL PHYSICS</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">1999</style></year><pub-dates><date><style  face="normal" font="default" size="100%">{MAR}</style></date></pub-dates></dates><number><style face="normal" font="default" size="100%">{1}</style></number><publisher><style face="normal" font="default" size="100%">{SPRINGER VERLAG}</style></publisher><pub-location><style face="normal" font="default" size="100%">{175 FIFTH AVE, NEW YORK, NY 10010 USA}</style></pub-location><volume><style face="normal" font="default" size="100%">201</style></volume><pages><style face="normal" font="default" size="100%">139-154</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;{We construct surface type measures on the level sets for the renormalized energy, which is an invariant quantity for the two dimensional periodic Euler flow, and prove the existence of weak solutions living on such level sets. Other classes of invariant measures for the motion are also introduced.}&lt;/p&gt;
</style></abstract><work-type><style face="normal" font="default" size="100%">{Article}</style></work-type><notes><style face="normal" font="default" size="100%">&lt;p&gt;n/a&lt;/p&gt;
</style></notes></record><record><source-app name="Biblio" version="6.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Cipriano, F.</style></author><author><style face="normal" font="default" size="100%">Cruzeiro, A. B.</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Flows associated to tangent processes on the Wiener space</style></title><secondary-title><style face="normal" font="default" size="100%">JOURNAL OF FUNCTIONAL ANALYSIS</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">1999</style></year><pub-dates><date><style  face="normal" font="default" size="100%">{AUG 20}</style></date></pub-dates></dates><number><style face="normal" font="default" size="100%">{2}</style></number><publisher><style face="normal" font="default" size="100%">{ACADEMIC PRESS INC}</style></publisher><pub-location><style face="normal" font="default" size="100%">{525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA}</style></pub-location><volume><style face="normal" font="default" size="100%">166</style></volume><pages><style face="normal" font="default" size="100%">310-331</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;{We prove, under certain regularity assumptions on the coefficients, that tangent processes (namely semimartingales d xi(tau) = a dx(tau) + b d tau where a is an antisymmetric matrix) generate flows on the classical Wiener space. Main applications of the result can be found in the study of the geometry of path spaces. (C) 1999 Academic Press.}&lt;/p&gt;
</style></abstract><work-type><style face="normal" font="default" size="100%">{Article}</style></work-type><notes><style face="normal" font="default" size="100%">&lt;p&gt;n/a&lt;/p&gt;
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