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

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

2006-07-13

arxiv.org/abs/math/0607320v1

Mathematics

Analysis of PDEs

Scientific paper

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

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