On the Stochastic Euler Equations in a Two-Dimensional Domain

DOI10.1137/S0036141001383941zbMath1003.35107MaRDI QIDQ2782978

Jong Uhn Kim

Publication date: 8 April 2002

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

zbMATH Keywords

existencevorticityBrownian motionEuler equationsmeasurabilitypathwise solutions

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

Related Items (10)

Existence and uniqueness for stochastic 2D Euler flows with bounded vorticity ⋮ A spectral stochastic semi-Lagrangian method for convection-diffusion equations with uncertainty ⋮ Local and global existence of smooth solutions for the stochastic Euler equations with multiplicative noise ⋮ Local strong solutions to the stochastic compressible Navier–Stokes system ⋮ Reliability-based shape optimization of structures undergoing fluid--structure interaction phenomena ⋮ Dissipative solutions to the stochastic Euler equations ⋮ On the well-posedness of stochastic Boussinesq equations with transport noise ⋮ Existence of a local smooth solution in probability to the stochastic Euler equations in \(\mathbb R^3\) ⋮ Stochastic compressible Euler equations and inviscid limits ⋮ Stochastic Euler equations of fluid dynamics with Lévy noise

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