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Inviscid limit of stochastic damped 2D Navier-Stokes equations
No full text1 online resource (PDF, 14 pages)Bessaih, Hakima; Ferrario, Benedetta. (2012). Inviscid limit of stochastic damped 2D Navier-Stokes equations. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/181220
Characterization of the law for 3D stochastic hyperviscous fluids
Full text linkWe consider the 3D hyperviscous Navier-Stokes equations in vorticity form, where the dissipative term -∆ξ of the Navier-Stokes equations is substituted by (-∆)^(1+c)ξ. We investigate how big the correction term c has to be in order to prove, by means of Girsanov transform, that the vorticity equations are equivalent (in law) to easier reference equations obtained by neglecting the stretching term. This holds as soon as c > 1/2, improving previous results obtained with c > 3/2 in a different setting in [5, 14]
Stochastic Navier-Stokes equations: analysis of the noise to have a unique invariant measure
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Invariant measures for a stochastic Kuramoto-Sivashinsky equation
No full textFor the one-dimensional Kuramoto-Sivashinsky equation with random forcing term, existence and uniqueness of solutions is proved. Then, the Markovian semigroup is well defined; its properties are analyzed in order to provide sufficient conditions for existence and uniqueness of invariant measures for this stochastic equation. Finally, regularity results are presented
Pathwise regularity of non-linear Ito equations. Application to a stochastic Navies-Stokes equation
No full textThe paper is concerned with regularity analysis of nonlinear Ito equations with additive noise, in the cases when mean-square calculus is not successful, whereas pathwise analysis is. We formalize a possible procedure basically based on time/space regularity for an auxiliary equation properly defined. As an application, regularity theory of a stochastic Navier-Stokes equation is presented
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