Asymptotic behavior of critical dissipative quasi-geostrophic equation in Fourier space

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:497

Article

Benameur, Jamel¹  Ben Abdallah, Saber¹ 

[1] Fac Sci Gabes, Dept Math, Res Lab Math & Applicat LR17ES11, Gabes, Tunisia

关键词: Quasi-geostrophic equations;    Critical spaces;    Long time decay;   

DOI  :  10.1016/j.jmaa.2020.124873

来源: Elsevier

【 摘 要 】

In this paper we show the global existence for critical dissipative quasi-geostrophic equations if parallel to theta(0)parallel to(L1) is small enough; among others we prove the analyticity of such a solution. If in addition the initial condition verifies vertical bar D vertical bar(-delta)theta(0) is an element of L-1(R-2) with 0 < delta < 1, then the solution remains regular and lim(t ->infinity) t(delta)parallel to theta(0)parallel to(L1) = 0. Fourier analysis and standard techniques are used. (C) 2020 Elsevier Inc. All rights reserved.

【 授权许可】

Free