On asymptotic stability of the 3D Boussinesq equations without heat conduction

被引：3

作者：

Dong, Lihua ^{[1
]}

Sun, Yongzhong ^{[2
]}

机构：

[1] Nanjing Tech Univ, Sch Phys & Math Sci, Nanjing 211816, Peoples R China

[2] Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China

来源：

SCIENCE CHINA-MATHEMATICS | 2024年 / 67卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Boussinesq equations; stationary solutions; asymptotic stability; decay rates; GLOBAL WELL-POSEDNESS; LONG-TIME BEHAVIOR; 3-D MHD SYSTEM; STRATIFIED SOLUTIONS; REGULARITY;

D O I：

10.1007/s11425-022-2101-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the asymptotic stability of the solutions to Boussinesq equations without heat conduction with the initial data near a specific stationary solution in the three-dimensional domain Omega = R-2 x( 0, 1). It is shown that the solution starting from a small perturbation to the stationary solution converges to it with explicit algebraic rates as time tends to infinity.

引用

页码：253 / 280

页数：28

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