Kolmogorov Equations Associated to the Stochastic Two Dimensional Euler Equations

DOI10.1137/18M1175756zbMath1426.35183arXiv1803.05654OpenAlexW2944296117MaRDI QIDQ5231293

De Jun Luo, Franco Flandoli

Publication date: 26 August 2019

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

Full work available at URL: https://arxiv.org/abs/1803.05654

zbMATH Keywords

white noiseKolmogorov equationGalerkin approximationWiener chaos2D Euler equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs with randomness, stochastic partial differential equations (35R60) Euler equations (35Q31) Fokker-Planck equations (35Q84)

Related Items (11)

Convergence of transport noise to Ornstein-Uhlenbeck for 2D Euler equations under the enstrophy measure ⋮ Hydrodynamic models ⋮ A numerical approach to Kolmogorov equation in high dimension based on Gaussian analysis ⋮ Point vortex approximation for 2D Navier-Stokes equations driven by space-time white noise ⋮ The infinitesimal generator of the stochastic Burgers equation ⋮ On the convergence of stochastic transport equations to a deterministic parabolic one ⋮ Stochastic mSQG equations with multiplicative transport noises: white noise solutions and scaling limit ⋮ On the well-posedness of stochastic Boussinesq equations with transport noise ⋮ Fokker–Planck equation for dissipative 2D Euler equations with cylindrical noise ⋮ Equilibrium statistical mechanics of barotropic quasi-geostrophic equations ⋮ Delayed blow-up by transport noise

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