临界Fourier-Besov-Morrey空间中二维次临界耗散拟地转方程的全局适定性和渐近性

Pub Date : 2023-01-01 DOI:10.4208/jpde.v36.n1.1

Achraf Azanzal, Chakir Allalou null, Adil Abbassi

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引用次数: 0

摘要

．本文研究了亚临界耗散准地转方程。利用Littlewood Paley理论、傅里叶分析和标准技术，证明了在临界傅里叶- besov - morrey空间FN 3−2 α + λ−2 p p， λ， q下存在唯一的全局实时解。此外，我们还证明了全局解v的渐近性质。即k v (t) k FN 3−2 α + λ−2 p p， λ， q随着时间趋于无穷衰减为零。

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Global Well-Posedness and Asymptotic Behavior for the 2D Subcritical Dissipative Quasi-Geostrophic Equation in Critical Fourier-Besov-Morrey Spaces

. In this paper, we study the subcritical dissipative quasi-geostrophic equation. By using the Littlewood Paley theory, Fourier analysis and standard techniques we prove that there exists v a unique global-in-time solution for small initial data be-longing to the critical Fourier-Besov-Morrey spaces FN 3 − 2 α + λ − 2 p p , λ , q . Moreover, we show the asymptotic behavior of the global solution v . i.e., k v ( t ) k FN 3 − 2 α + λ − 2 p p , λ , q decays to zero as time goes to inﬁnity.

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