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Global well-posedness and a decay estimate for the critical dissipative quasi-geostrophic equation in the whole space. Discrete Contin

By Hongjie Dong and Dapeng Du

Abstract

Abstract. We study the critical dissipative quasi-geostrophic equations in R2 with arbitrary H1 initial data. After showing certain decay estimate, a global well-posedness result is proved by adapting the method in [10]. A decay in time estimate for higher Sobolev norms of solutions is also discussed. 1

Year: 2012
OAI identifier: oai:CiteSeerX.psu:10.1.1.239.2731
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