arXiv:math/0701828 Abstract

arXiv:math/0701828 [math.AP]Abstract References Reviews Resources

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

Published 2007-01-29, updated 2007-02-13Version 2

We study the critical dissipative quasi-geostrophic equations in $\bR^2$ with arbitrary $H^1$ 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.

Comments: 9 pages; revised the introduction, added two references and corrected a few misprints

Categories: math.AP, math-ph, math.MP

Subjects: 35Q35

Keywords: critical dissipative quasi-geostrophic equation, decay estimate, higher order homogeneous sobolev norms, global well-posedness result

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