Continuous dependence for a thermal convection model with temperature-dependent solubility

被引：36

作者：

Liu, Yan ^{[1
]}

机构：

[1] Guangdong Univ Finance, Dept Appl Math, Guangzhou 510521, Guangdong, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2017年 / 308卷

基金：

中国国家自然科学基金;

关键词：

Structural stability; Thermal convection model; Boussinesq coefficient; Continuous dependence; BRINKMAN-FORCHHEIMER EQUATIONS; DOUBLE-DIFFUSIVE CONVECTION; STRUCTURAL STABILITY; REACTION TERMS; POROUS-MEDIUM; DARCY FLOW; COEFFICIENTS; FLUID;

D O I：

10.1016/j.amc.2017.03.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the structural stability for a thermal convection model with temperature-dependent solubility. When the spatial domain Omega is bounded in R-3, we show that the solution depends continuously on the Boussinesq coefficient lambda by using the method of a second order differential inequality. In the procedure of deriving the result, we also get the a priori bounds for the temperature T and the salt concentration C. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：18 / 30

页数：13

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