Regularization for the supercritical quasi-geostrophic equation

Details Regularization for the supercritical quasi-geostrophic equation Regularization for the supercritical quasi-geostrophic equation

2010-07-28

arxiv.org/abs/1007.4889v1

Mathematics

Analysis of PDEs

18 pages

Scientific paper

Motivated by the De Giorgi type argument used in a recent paper by Caffarelli
and Vasseur, we prove H\"older-regularity for weak solutions of the
supercritical quasi-geostrophic equation with minimal assumptions on the
initial datum.

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