Global existence and exponential decay of strong solutions for the three-dimensional Boussinesq equations

被引：1

作者：

Shang, Zhaoyang ^{[1
,2
]}

Tang, Fuquan ^{[2
]}

机构：

[1] Shanghai Lixin Univ Accounting & Finance, Sch Finance, Shanghai, Peoples R China

[2] Shanghai Jiao Tong Univ, Sch Math Sci, Shanghai, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2020年 / 2020卷 / 01期

关键词：

Boussinesq equations; Blow-up criterion; Global strong solutions; Exponential decay rate; BLOW-UP CRITERION; LOCAL EXISTENCE;

D O I：

10.1186/s13660-020-02315-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the global existence of strong solutions to the three-dimensional Boussinesq equations on the smooth bounded domain omega. Based on the blow-up criterion and uniform estimates, we prove that the strong solution exists globally in time if the initial -norm of velocity and temperature are small. Moreover, an exponential decay rate of the strong solution is obtained.

引用

页数：10

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