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

被引：23

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

页码：580 / 591

页数：12

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