The Annals of Applied Probability

Stochastic Euler equations on the torus

Marek Capiński and Nigel J. Cutland

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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 information

Ann. Appl. Probab., Volume 9, Number 3 (1999), 688-705.

First available in Project Euclid: 21 August 2002

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 60H15: Stochastic partial differential equations [See also 35R60]
Secondary: 35Q05: Euler-Poisson-Darboux equations 36R60

Stochastic equations Euler equations statistical solutions


Capiński, Marek; Cutland, Nigel J. Stochastic Euler equations on the torus. Ann. Appl. Probab. 9 (1999), no. 3, 688--705. doi:10.1214/aoap/1029962809.

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