In this paper 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 Lp, with p ∈ [1, ∞]. Local results for arbitrary initial data are also given.
- 2D quasi-geostrophic equation
- Critical Besov spaces
- Local and global existence
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