The optimal decay rates for solutions to the 3D Boussinesq equations with a velocity damping term in R3

被引：0
|
作者：
Dong, Lihua [1 ]
机构：
[1] Nanjing Tech Univ, Sch Phys & Math Sci, Nanjing 211816, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2025年 / 255卷
关键词：
Boussinesq equations; Stationary solution; Asymptotic stability; Decay rates; GLOBAL WELL-POSEDNESS; LONG-TIME BEHAVIOR; ASYMPTOTIC STABILITY; REGULARITY;
D O I：
10.1016/j.na.2025.113775
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with asymptotic stability of certain stationary solution to the 3D Boussinesq equations in the whole space R3 with a damping term in the velocity equation. Precisely, the decay rates of solutions is optimal in sense that these rates coincide with that of the linearized equations.
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页数：17
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