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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

来源:Arxiv_logoArxiv
英文摘要

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.

Taoufik Hmidi、Sahbi Keraani

数学大气科学(气象学)

Taoufik Hmidi,Sahbi Keraani.On the global solutions of the super-critical 2D quasi-geostrophic equation in Besov spaces[EB/OL].(2006-11-16)[2025-08-03].https://arxiv.org/abs/math/0611494.点此复制

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