On the global solutions of the super-critical 2D quasi-geostrophic equation in Besov spaces

2006/11/16 by Hmidi, Taoufik, Keraani, Sahbi
#35Q35 #76B03 #76D #76U05 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.math/0611494

Abstract

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^p, \mboxwith p∈[1,∞]. Local results for arbitrary initial data are also given.

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