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

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

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Atanas Stefanov. 2006-07-13. Global well-posedness for the 2 D quasi-geostrophic equation in a critical Besov space. https://arxiv.org/abs/math/0607320

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