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Global solutions of the super-critical 2D quasi-geostrophic equation in Besov spaces. (English) Zbl 1119.76070
Summary: We study the super-critical 2D dissipative quasi-geostrophic equation. We obtain some regularization effects allowing us to prove a global well-posedness result for small initial data lying in critical Besov spaces constructed over Lebesgue spaces $$L^{p}$$, with $$p \in [1,\infty]$$. Local results for arbitrary initial data are also given.

##### MSC:
 76U05 General theory of rotating fluids 35Q35 PDEs in connection with fluid mechanics
##### Keywords:
regularization; global well-posedness; Lebesgue spaces
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##### References:
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