English

Eventual regularization for the slightly supercritical quasi-geostrophic equation

Analysis of PDEs 2010-09-09 v2

Abstract

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.

Keywords

Cite

@article{arxiv.0812.4901,
  title  = {Eventual regularization for the slightly supercritical quasi-geostrophic equation},
  author = {Luis Silvestre},
  journal= {arXiv preprint arXiv:0812.4901},
  year   = {2010}
}