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arXiv · 2102.11256

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

Jamel Benameur·Chaala Katar
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Abstract

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.

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Jamel Benameur, Chaala Katar. 2021-02-22. Asymptotic study of supercritical surface Quasi-Geostrophic equation in critical space. https://arxiv.org/abs/2102.11256

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