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arXiv:2102.11256 [math.AP]AbstractReferencesReviewsResources

Asymptotic study of supercritical surface Quasi-Geostrophic equation in critical space

Jamel Benameur, Chaala Katar

Published 2021-02-22Version 1

In this paper we prove, if $\theta\in C([0,\infty),H^{2-2\alpha}(\mathbb R^2))$ is a global solution of supercritical surface Quasi-Geostrophic equation with small initial data, then $\|\theta(t)\|_{H^{2-2\alpha}}$ decays to zero as time goes to infinity. Fourier analysis and standard techniques are used.

Comments: global solution, supercritical surface Quasi-Geostrophic equation, Asymptotic study
Categories: math.AP
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