Continuous dependence on boundary reaction terms in a porous medium of Darcy type

被引：45

作者：

Scott, Nicola L. ^{[1
]}

机构：

[1] Univ Durham, Dept Math, Durham DH1 3LE, England

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2013年 / 399卷 / 02期

基金：

英国工程与自然科学研究理事会;

关键词：

Porous media; Darcy type; Continuous dependence; Boundary reaction; BRINKMAN-FORCHHEIMER EQUATIONS; DOUBLE-DIFFUSIVE CONVECTION; STRUCTURAL STABILITY; SURFACE-REACTION; CONVERGENCE; FLOW; FLUID; EXISTENCE; LAYER;

D O I：

10.1016/j.jmaa.2012.10.054

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a saturated porous medium of Darcy type with an exothermic reaction occurring on the domain boundary. In this model the reaction is the main driving force behind convection and we establish continuous dependence of the solution on the reaction terms. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：667 / 675

页数：9

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