Regularization by noise for the point vortex model of mSQG equations

DOI10.1007/s10114-020-9256-xzbMath1464.76205arXiv1906.10191OpenAlexW3016340177MaRDI QIDQ2025265

De Jun Luo, Martin Saal

Publication date: 11 May 2021

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.10191

zbMATH Keywords

unique global solutiontorusabsolute continuitymodified surface quasi-geostrophic equationsspace-dependent noise

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Vortex flows for incompressible inviscid fluids (76B47) Geophysical flows (76U60)

Related Items (4)

Regularization by transport noises for 3D MHD equations ⋮ Stochastic mSQG equations with multiplicative transport noises: white noise solutions and scaling limit ⋮ Long time localization of modified surface quasi-geostrophic equations ⋮ On white noise solutions of mSQG equations on \(\mathbb{R}^2\)

Cites Work

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• Full well-posedness of point vortex dynamics corresponding to stochastic 2D Euler equations
• Inviscid models generalizing the two-dimensional Euler and the surface quasi-geostrophic equations
• On the vortex flow in bounded domains
• Mathematical theory of incompressible nonviscous fluids
• Application of Malliavin calculus to a class of stochastic differential equations
• Point vortices for inviscid generalized surface quasi-geostrophic models
• mSQG equations in distributional spaces and point vortex approximation
• \(\rho\)-white noise solution to 2D stochastic Euler equations
• Noise Prevents Collapse of Vlasov-Poisson Point Charges
• Formation of strong fronts in the 2-D quasigeostrophic thermal active scalar
• Weak vorticity formulation of 2D Euler equations with white noise initial condition
• Turbulent diffusion in the geostrophic inverse cascade
• Surface quasi-geostrophic dynamics
• Evidence of singularities for a family of contour dynamics equations

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