Structural stability for the resonant porous penetrative convection

被引：2

作者：

Liu, Yan ^{[1
]}

机构：

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

来源：

EUROPEAN JOURNAL OF APPLIED MATHEMATICS | 2012年 / 23卷

基金：

中国国家自然科学基金;

关键词：

Structural stability; Forchheimer equations; The Forchheimer coefficient; Darcy equations; DOUBLE-DIFFUSIVE CONVECTION; BRINKMAN-FORCHHEIMER EQUATIONS; SPATIAL DECAY; CONTINUOUS DEPENDENCE; DARCY FLOW; PLANE FLOW; CONVERGENCE; MODEL; FLUID; MEDIA;

D O I：

10.1017/S0956792512000253

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the structural stability of a problem in a porous medium when the density of saturating liquid is a nonlinear function of temperature and an internal heat source is present. We prove a convergence result for the Forchheimer coefficient. That is to say, when lambda -> 0, the solution of the non-isothermal flow in a porous medium of the Forchheimer type, see (1.1), can converge to the solution of the equivalent Darcy type.

引用

页码：761 / 775

页数：15

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