Local solutions for stochastic Navier stokes equations

Citation
A. Bensoussan et J. Frehse, Local solutions for stochastic Navier stokes equations, ESAIM-M MOD, 34(2), 2000, pp. 241-273
Citations number
9
Categorie Soggetti
Mathematics
Journal title
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE
ISSN journal
0764583X → ACNP
Volume
34
Issue
2
Year of publication
2000
Pages
241 - 273
Database
ISI
SICI code
0764-583X(200003/04)34:2<241:LSFSNS>2.0.ZU;2-R
Abstract
In this article we consider local solutions for stochastic Navier Stokes eq uations, based on the approach of Von Wahl, for the deterministic case. We present several approaches of the concept, depending on the smoothness avai lable. When smoothness is available, Ive can in someway reduce the stochast ic equation to a deterministic one with a random parameter. In the general case, Ne mimic the concept of local solution for stochastic differential eq uations.