Eventual regularization for the slightly supercritical quasi-geostrophic equation

Details Eventual regularization for the slightly supercritical quasi-geostrophic equation Eventual regularization for the slightly supercritical quasi-geostrophic equation

2008-12-29

arxiv.org/abs/0812.4901v2

Mathematics

Analysis of PDEs

Scientific paper

10.1016/j.anihpc.2009.11.006

We prove that weak solutions of a slightly supercritical quasi-geostrophic
equation become smooth for large time. We prove it using a De Giorgi type
argument using ideas from a recent paper by Caffarelli and Vasseur.

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