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

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

2006-11-16

arxiv.org/abs/math/0611494v1

Mathematics

Analysis of PDEs

Scientific paper

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 $L^p,$ \mbox{with $p\in[1,\infty].$ Local
results for arbitrary initial data are also given.

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