Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8904915 | Advances in Mathematics | 2018 | 36 Pages |
Abstract
In this paper we provide regularity results for active scalars that are weak solutions of 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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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Diego Alonso-Orán, Antonio Córdoba, Ángel D. MartÃnez,