Global well-posedness for the 2 D quasi-geostrophic equation in a critical Besov space

2006/07/13 by Stefanov, Atanas
#35K55 #35Q35 #36D03 #76B65 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.math/0607320

Abstract

We show that the the 2 D quasi-geostrophic equation has global and unique strong solution, when the (large) data belongs in the critical, scale invariant space B^2-2\al_{2, ∞}∩ L^2/(2\al-1).

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