Optimal Gevrey regularity for supercritical quasi-geostrophic equations

Published 23 Jun 2021 in math.AP, math-ph, and math.MP | (2106.12439v2)

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}.

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Dong Li

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