Well-posedness and analyticity for quasi-geostrophic equation in the Besov-Morrey spaces characterized by semi-group

被引：1

作者：

Khaider, Hassan ^{[1
]}

Azanzal, Achraf ^{[1
]}

Allalou, Chakir ^{[1
]}

Melliani, Said ^{[1
]}

机构：

[1] Sultan Moulay Slimane Univ, FST Beni Mellal, Lab LMACS, Beni Mellal, Morocco

来源：

FILOMAT | 2024年 / 38卷 / 17期

关键词：

Quasi-geostrophic equation; Besov-Morrey spaces characterized by the semigroup; Global well-posedness; Analyticity of the solutions; GEVREY REGULARITY;

D O I：

10.2298/FIL2417237K

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we show the existence and uniqueness, the analyticity of the solutions and the decay estimates of the solutions of the quasi-geostrophic equation (QG) in the Besov-Morrey spaces charterized by the semigroup T-alpha := e(-t(-triangle)alpha), noted by N-p,lambda(s). If we assume that the initial data theta 0 are small and belong to the Besov-Morrey critical spaces, we obtain the global well-posedness results of the QG equation.

引用

页码：6237 / 6244

页数：8

共 40 条

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