The Annals of Probability

Stochastic two dimensional euler equations

Zdzislaw Brzezniak and Szymon Peszat

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The existence of a martingale solution to 2-dimensional stochastic Euler equations is proved. The constructed solution is a limit as the viscosity converges to zero of a sequence of solutions to modified Navier–Stokes equations.

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Ann. Probab., Volume 29, Number 4 (2001), 1796-1832.

First available in Project Euclid: 5 March 2002

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Primary: 35Q05: Euler-Poisson-Darboux equations 35Q30: Navier-Stokes equations [See also 76D05, 76D07, 76N10] 30H15: Nevanlinna class and Smirnov class 60G60: Random fields
Secondary: 35R60: Partial differential equations with randomness, stochastic partial differential equations [See also 60H15] 60J25

Stochastic Euler equations stochastic Navier –Stokes equations stochastic hydromechanics martingale problems on Banach spaces


Brzezniak, Zdzislaw; Peszat, Szymon. Stochastic two dimensional euler equations. Ann. Probab. 29 (2001), no. 4, 1796--1832. doi:10.1214/aop/1015345773.

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