<?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><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;
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