Higher Regularity for the Critical and Super-critical Dissipative Quasi-geostrophic Equations
نویسندگان
چکیده
We study the critical and super-critical dissipative quasi-geostrophic equations in R or T. Higher regularity of mild solutions with arbitrary initial data in Ḣ is proved. As a corollary, we obtain a global existence result for the critical 2D quasigeostrophic equations with periodic Ḣ data. Some decay in time estimates are also provided.
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تاریخ انتشار 2008