Stochastic 2D hydrodynamical systems: Wong-Zakai approximation and Support theorem - Archive ouverte HAL Access content directly
Journal Articles Stochastic Analysis and Applications Year : 2011

Stochastic 2D hydrodynamical systems: Wong-Zakai approximation and Support theorem

Abstract

We deal with a class of abstract nonlinear stochastic models with multiplicative noise, which covers many 2D hydrodynamical models including the 2D Navier-Stokes equations, 2D MHD models and 2D magnetic Bénard problems as well as some shell models of turbulence. Our main result describes the support of the distribution of solutions. Both inclusions are proved by means of a general Wong-Zakai type result of convergence in probability for non linear stochastic PDEs driven by a Hilbert-valued Brownian motion and some adapted finite dimensional approximation of this process.
Fichier principal
Vignette du fichier
ChuMil-WZsupport_Final.pdf (427.02 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-00403685 , version 1 (12-07-2009)
hal-00403685 , version 2 (29-11-2010)

Identifiers

Cite

Igor Chueshov, Annie Millet. Stochastic 2D hydrodynamical systems: Wong-Zakai approximation and Support theorem. Stochastic Analysis and Applications, 2011, 29 (4), pp.570-611. ⟨10.1080/07362994.2011.581081⟩. ⟨hal-00403685v2⟩
220 View
151 Download

Altmetric

Share

Gmail Facebook X LinkedIn More