A scaling limit for the stochastic mSQG equations with multiplicative transport noises

DOI10.1142/S0219493720400018zbMath1454.60096OpenAlexW3011339560MaRDI QIDQ5133915

Martin Saal, De Jun Luo

Publication date: 11 November 2020

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

Full work available at URL: https://doi.org/10.1142/s0219493720400018

zbMATH Keywords

weak convergencescaling limittransport noisemodified surface quasi-geostrophic equation

Mathematics Subject Classification ID

Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs in connection with geophysics (35Q86)

Related Items

Heat diffusion in a channel under white noise modeling of turbulence ⋮ Regularization by transport noises for 3D MHD equations ⋮ On local well-posedness of logarithmic inviscid regularizations of generalized SQG equations in borderline Sobolev spaces ⋮ Delayed blow-up by transport noise ⋮ Convergence of stochastic 2D inviscid Boussinesq equations with transport noise to a deterministic viscous system

Cites Work

• Unnamed Item
• Absolute continuity under flows generated by SDE with measurable drift coefficients
• Global flows with invariant (Gibbs) measures for Euler and Navier-Stokes two dimensional fluids
• Compact sets in the space \(L^ p(0,T;B)\)
• Two-dimensional Navier-Stokes equations driven by a space-time white noise
• Uniqueness of solutions of the stochastic Navier-Stokes equation with invariant measure given by the enstrophy.
• Point vortices for inviscid generalized surface quasi-geostrophic models
• Convergence of transport noise to Ornstein-Uhlenbeck for 2D Euler equations under the enstrophy measure
• On the convergence of stochastic transport equations to a deterministic parabolic one
• mSQG equations in distributional spaces and point vortex approximation
• Regularity criterion and energy conservation for the supercritical quasi-geostrophic equation
• Existence and regularity of weak solutions to the quasi-geostrophic equations in the spaces \(L^p\) or \(\dot{H}^{-1/2}\)
• On Stochastic Differential Equations with Locally Unbounded Drift
• SOME NEW RESULTS IN THE THEORY OF CONTROLLED DIFFUSION PROCESSES
• Behavior of Solutions of 2D Quasi-Geostrophic Equations
• Nonuniqueness of Weak Solutions to the SQG Equation
• On the Regularity Conditions for the Dissipative Quasi-geostrophic Equations