Stochastic Euler equations on the torus

Authors
Capinski, M Cutland, NJ
Citation
M. Capinski et Nj. Cutland, Stochastic Euler equations on the torus, ANN APPL PR, 9(3), 1999, pp. 688-705
Citations number
4
Categorie Soggetti
Mathematics
Journal title
ANNALS OF APPLIED PROBABILITY
ISSN journal
10505164 → ACNP
Volume
9
Issue
3
Year of publication
1999
Pages
688 - 705
Database
ISI
SICI code
1050-5164(199908)9:3<688:SEEOTT>2.0.ZU;2-F
Abstract
Existence of solutions for stochastic Euler equations is proved for the two -dimensional case. The laws of solutions of stochastic Navier-Stokes equati ons are shown to be relatively compact and all limit points las the viscosi ty converges to zero) are laws of solutions to stochastic Euler equations.