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

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 $dot{B}^{2-2alpha}_{2, infty}cap L^{2/(2alpha-1)}$.

Bibliographic Details
Main Author: Atanas Stefanov
Format: Article
Language:English
Published: Texas State University 2007-11-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2007/150/abstr.html