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Asymptotic study of supercritical surface Quasi-Geostrophic equation in critical space
Journal article   Peer reviewed

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

Jamel Benameur and Chaala Katar
Nonlinear analysis, Vol.224, p.113074
01/11/2022
DOI: https://doi.org/10.1016/j.na.2022.113074

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper we prove, if theta is an element of C ([0, infinity), H2-2 alpha(R-2)) is a global solution of supercritical surface Quasi-Geostrophic equation with small initial data, then parallel to theta(t)parallel to(H2-2 alpha) decays to zero as time goes to infinity. Fourier analysis and standard techniques are used. (C) 2022 Published by Elsevier Ltd.

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