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

2021/02/22 by Jamel Benameur, Benameur, Jamel, Chaala Katar +1
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Navier-Stokes equation solutions

paper · pdf · doi:10.48550/arxiv.2102.11256

openalex publication_date 2021/02/22 · openalex created_date 2022/07/23 · openalex updated_date 2026/07/28

Abstract

In this paper we prove, if θ∈ C([0,∞),H^2-2α(\mathbb R²)) is a global solution of supercritical surface Quasi-Geostrophic equation with small initial data, then ‖θ(t)‖_H^2-2α decays to zero as time goes to infinity. Fourier analysis and standard techniques are used.

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