A regularity criterion for the dissipative quasi-geostrophic equations

TL;DR

This paper introduces a new regularity criterion for weak solutions of the dissipative quasi-geostrophic equations, using mixed time-space Besov spaces to better understand solution smoothness.

Contribution

It provides a novel regularity criterion in mixed Besov spaces, advancing the mathematical understanding of solution regularity for these equations.

Findings

Established a regularity criterion in Besov spaces

Improved understanding of solution smoothness conditions

Potential applications in geophysical fluid dynamics

Abstract

We establish a regularity criterion for weak solutions of the dissipative quasi-geostrophic equations in mixed time-space Besov spaces.