Stationary solutions of damped stochastic 2-dimensional Euler's equation

DOI10.1214/20-EJP474zbMath1447.35258arXiv1901.06744OpenAlexW3037747787MaRDI QIDQ782814

Francesco Grotto

Publication date: 29 July 2020

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.06744

zbMATH Keywords

vorticity formulationpoint vorticesstochastic Euler system

Mathematics Subject Classification ID

Stochastic analysis applied to problems in fluid mechanics (76M35) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Euler equations (35Q31)

Related Items (11)

Infinitesimal invariance of completely Random Measures for 2D Euler Equations ⋮ Burst of point vortices and non-uniqueness of 2D Euler equations ⋮ A central limit theorem for Gibbsian invariant measures of 2D Euler equations ⋮ Noise based on vortex structures in 2D and 3D ⋮ Uniform approximation of 2D Navier-Stokes equations with vorticity creation by stochastic interacting particle systems ⋮ Zero-noise dynamics after collapse for three point vortices ⋮ Renormalized Onsager functions and merging of vortex clusters ⋮ Limit theorems and fluctuations for point vortices of generalized Euler equations ⋮ Energy conditional measures and 2D turbulence ⋮ Fokker–Planck equation for dissipative 2D Euler equations with cylindrical noise ⋮ Equilibrium statistical mechanics of barotropic quasi-geostrophic equations

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