Publications

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Journal Article
Chaari, S., F. Cipriano, H. - H. Kuo, and H. Ouerdiane. "Surface measures on the dual space of the Schwartz space." Commun. Stoch. Anal.. 4 (2010): 467-480. Abstract

n/a

Cipriano, F. "The two dimensional Euler equation: A statistical study." COMMUNICATIONS IN MATHEMATICAL PHYSICS. 201 (1999): 139-154. Abstract

{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.}

Chemetov, Nikolai, and Fernanda Cipriano. "Well-posedness of stochastic second grade fluids." JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. 454 (2017): 585-616. Abstract

{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.}