Stochastic Euler equations on the torus

Authors
Capi.ski, Marek Cutland, Nigel J.
Citation
Capi.ski, Marek et J. Cutland, Nigel, Stochastic Euler equations on the torus, Annals of applied probability , 9(3), 1999, pp. 688-705
Journal title
Annals of applied probability → ACNP
ISSN journal
10505164
Volume
9
Issue
3
Year of publication
1999
Pages
688 - 705
Database
ACNP
SICI code
Abstract
Existence of solutions for stochastic Euler equations is proved for the two-dimensional case. The laws of solutions of stochastic Navier-Stokes equations are shown to be relatively compact and all limit points (as the viscosity converges to zero) are laws of solutions to stochastic Euler equations.