Optimal Gevrey regularity for supercritical quasi-geostrophic equations

Abstract

We consider the two dimensional surface quasi-geostrophic equations with super-critical dissipation. For large initial data in critical Sobolev and Besov spaces, we prove optimal Gevrey regularity with the same decay exponent as the linear part. This settles several open problems in \cite{Bis14, BMS15}.

arXiv commentSeveral typos corrected (this is better than the published version)

References in corpus (4)

• Global well-posedness for the critical 2D dissipative quasi-geostrophic equation
• A new Bernstein's Inequality and the 2D Dissipative Quasi-Geostrophic Equation
• Non-uniqueness of steady-state weak solutions to the surface quasi-geostrophic equations
• On the existence, uniqueness, and smoothing of solutions to the generalized SQG equations in critical Sobolev spaces