Stochastic 2D rotating Euler flows with bounded vorticity or white noise initial conditions

DOI10.1142/S021949372240007XzbMath1492.35202OpenAlexW4210361711MaRDI QIDQ5864056

Xiancheng Gao, Hong-Jun Gao

Publication date: 3 June 2022

Published in: Stochastics and Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021949372240007x

zbMATH Keywords

stabilityrotationEuler equationswhite noise\(L^\infty\) vorticity

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Stability in context of PDEs (35B35) Vortex flows for incompressible inviscid fluids (76B47) Navier-Stokes equations (35Q30) White noise theory (60H40) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs with randomness, stochastic partial differential equations (35R60) Euler equations (35Q31) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Cites Work

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• Weak vorticity formulation of 2D Euler equations with white noise initial condition
• The weak vorticity formulation of the 2-d euler equations and concentration-cancellation

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