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.

引用

页码：445 / 456

页数：12

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