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.
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页码：253 / 280
页数：28
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