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
收藏
页码：6237 / 6244
页数：8
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