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October 2001 Stochastic two dimensional euler equations
Zdzislaw Brzezniak, Szymon Peszat
Ann. Probab. 29(4): 1796-1832 (October 2001). DOI: 10.1214/aop/1015345773


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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Zdzislaw Brzezniak. Szymon Peszat. "Stochastic two dimensional euler equations." Ann. Probab. 29 (4) 1796 - 1832, October 2001.


Published: October 2001
First available in Project Euclid: 5 March 2002

zbMATH: 1032.60055
MathSciNet: MR1880243
Digital Object Identifier: 10.1214/aop/1015345773

Primary: 30H15 , 35Q05 , 35Q30 , 60G60
Secondary: 35R60 , 60J25

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

Rights: Copyright © 2001 Institute of Mathematical Statistics

Vol.29 • No. 4 • October 2001
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