Global well-posedness of dissipative quasi-geostrophic equations in critical spaces

Bae, Hantaek

doi:10.1090/S0002-9939-07-09060-0

Global well-posedness of dissipative quasi-geostrophic equations in critical spaces
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Proc. Amer. Math. Soc. 136 (2008), 257-261 Request permission

Abstract:

We prove global well-posedness for the dissipative quasi-geostrophic equation with initial data in critical Besov spaces $B^{1+ {2 \over p}-2\alpha }_{p,q}$, $0< \alpha \leq 1$, provided that the $B^{1+ {2 \over p}-2\alpha }_{p,q}$norm of the initial data is sufficiently small compared with the dissipative coefficient $\kappa$.

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