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

Jamel Benameur; Chaala Katar

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

Analysis of PDEs 2021-02-23 v1

Authors: Jamel Benameur , Chaala Katar

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.

Keywords

surface quasi-geostrophic equation supercritical critical space global solution decay fourier analysis

Cite

@article{arxiv.2102.11256,
  title  = {Asymptotic study of supercritical surface Quasi-Geostrophic equation in critical space},
  author = {Jamel Benameur and Chaala Katar},
  journal= {arXiv preprint arXiv:2102.11256},
  year   = {2021}
}

Comments

global solution, supercritical surface Quasi-Geostrophic equation, Asymptotic study

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