On the stability of global solutions to the 3D Boussinesq system

被引：22
|
作者：
Liu, Xiaopan [1 ]
Li, Yuxiang [1 ]
机构：
[1] Southeast Univ, Dept Math, Nanjing 210018, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2014年 / 95卷
基金：
中国国家自然科学基金;
关键词：
Boussinesq system; Global solution; Stability; NAVIER-STOKES EQUATIONS; AXIALLY-SYMMETRIC FLOWS; LARGE-TIME BEHAVIOR; WELL-POSEDNESS; CONVECTION; EXISTENCE; SPACES;
D O I：
10.1016/j.na.2013.10.011
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the stability to any given global smooth solutions of the 3D Boussinesq system. Assuming that ((theta) over bar, (u) over bar) is a global solution (called reference solution later) with initial data ((theta) over bar (0), (u) over bar (0)), we prove that a small perturbation of ((theta) over bar (0), (u) over bar (0)) still generates a global smooth solution to the Boussinesq system, and this solution keeps close to the reference solution. Crown Copyright (C) 2013 Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码：580 / 591
页数：12
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