Optimal Gevrey regularity for supercritical quasi-geostrophic equations
Analysis of PDEs
2025-07-29 v3 Mathematical Physics
math.MP
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}.
Keywords
Cite
@article{arxiv.2106.12439,
title = {Optimal Gevrey regularity for supercritical quasi-geostrophic equations},
author = {Dong Li},
journal= {arXiv preprint arXiv:2106.12439},
year = {2025}
}
Comments
Several typos corrected (this is better than the published version)