Global Well-posedness for the 2d Quasi-geostrophic Equation in a Critical Besov Space
نویسنده
چکیده
We show that the 2D quasi-geostrophic equation has global and unique strong solution when the (large) data belongs in the critical scale invariant space Ḃ2−2α 2,∞ ∩ L2/(2α−1).
منابع مشابه
On the Global Solutions of the Super-critical 2d Quasi-geostrophic Equation in Besov Spaces
In this paper we study the super-critical 2D dissipative quasi-geostrophic equation. We obtain some regularization effects allowing us to prove global well-posedness result for small initial data lying in critical Besov spaces constructed over Lebesgue spaces L, with p ∈ [1,∞]. Local results for arbitrary initial data are also given.
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