UNIQUENESS OF WEAK SOLUTIONS TO THE BOUSSINESQ EQUATIONS WITH FRACTIONAL DISSIPATION

被引：0
|
作者：
Ji, Ruihong [1 ]
Li, Dan [2 ]
Wu, Jiahong [3 ]
机构：
[1] Chengdu Univ Technol, Geomath Key Lab Sichuan Prov, Chengdu 610059, Peoples R China
[2] Sichuan Univ, Dept Math, Chengdu 610064, Peoples R China
[3] Oklahoma State Univ, Dept Math, Stillwater, OK 74078 USA
来源：
COMMUNICATIONS IN MATHEMATICAL SCIENCES | 2023年 / 21卷 / 06期
基金：
中国国家自然科学基金;
关键词：
Boussinesq equations; Littlewood-Paley; weak solution; uniqueness; GLOBAL WELL-POSEDNESS; MHD EQUATIONS; REGULARITY; MODELS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper examines the existence and uniqueness of weak solutions to the dsion (- increment )beta . The aim is at the uniqueness of weak solutions in the weakest possible inhomogeneous Besov spaces. We establish the local existence and uniqueness in the functional setting composing the bilinear term into different frequencies, we are able to obtain a suitable upper bound on the bilinear term, which allows us to close the estimates in the aforementioned Besov spaces.
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页码：1531 / 1548
页数：18
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