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.
@article{1029962809,
author = {Capi\'nski, Marek and Cutland, Nigel J.},
title = {Stochastic Euler equations on the torus},
journal = {Ann. Appl. Probab.},
volume = {9},
number = {1},
year = {1999},
pages = { 688-705},
language = {en},
url = {http://dml.mathdoc.fr/item/1029962809}
}
Capiński, Marek; Cutland, Nigel J. Stochastic Euler equations on the torus. Ann. Appl. Probab., Tome 9 (1999) no. 1, pp. 688-705. http://gdmltest.u-ga.fr/item/1029962809/