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arXiv · 1704.06129

Continuity of weak solutions of the critical quasigeostrophic equation on the sphere

Diego Alonso-Oran·Antonio Cordoba·Angel D. Martinez
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Abstract

In this paper we provide regularity results for active scalars that are weak solutions of almost critical drift-diffusion equations in general surfaces. This includes models of anisotropic non-homogeneous media and the physically motivated case of the two-dimensional sphere. Our finest result deals with the critical surface quasigeostrophic equation on the round sphere.

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Diego Alonso-Oran, Antonio Cordoba, Angel D. Martinez. 2017-04-20. Continuity of weak solutions of the critical quasigeostrophic equation on the sphere. https://arxiv.org/abs/1704.06129

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