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.
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页码：761 / 775
页数：15
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