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

作　　者：Lihua Dong Yongzhong Sun 

机构地区：[1]School of Physical and Mathematical Sciences,Nanjing Tech University,Nanjing 211816,China [2]Department of Mathematics,Nanjing University,Nanjing 210093,China

出　　处：《Science China Mathematics》2024年第2期253-280,共28页中国科学（数学）（英文版）

基　　金：This work was supported by National Natural Science Foundation of China(Grant No.12071211).

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 Ω=R^(2)×(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.

关 键 词：Boussinesq equations stationary solutions asymptotic stability decay rates 

分 类 号：O175[理学—数学]