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

2007/01/29 by Dong, Hongjie, Du, Dapeng · 1 citation
#35Q35 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.math/0701828

Abstract

We study the critical dissipative quasi-geostrophic equations in \bR² with arbitrary H¹ initial data. After showing certain decay estimate, a global well-posedness result is proved by adapting the method in [11] with a suitable modification. A decay in time estimate for higher order homogeneous Sobolev norms of solutions is also discussed.

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