On the global stability of large solutions for the Boussinesq equations with Navier boundary conditions

被引：6
|
作者：
Wang, Weinan [1 ]
机构：
[1] Univ Arizona, Dept Math, Tucson, AZ 85712 USA
来源：
ARCHIV DER MATHEMATIK | 2021年 / 116卷 / 04期
关键词：
Boussinesq equations; Stability; Navier boundary conditions; REGULARITY; EXISTENCE; SYSTEM;
D O I：
10.1007/s00013-020-01557-x
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we first prove the local existence of strong solutions to the 3D Boussinesq equations in a bounded domain with Navier boundary conditions. Then we show the global stability of strong large solutions under a suitable integral condition.
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页码：445 / 456
页数：12
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