CONTINUOUS DEPENDENCE ON THE REACTION TERMS IN POROUS CONVECTION WITH SURFACE REACTIONS

被引:38
作者
Scott, Nicola L. [1 ]
Straughan, B. [1 ]
机构
[1] Univ Durham, Dept Math, Durham DH1 3LE, England
基金
英国工程与自然科学研究理事会;
关键词
BRINKMAN-FORCHHEIMER EQUATIONS; DOUBLE-DIFFUSIVE CONVECTION; STRUCTURAL STABILITY; DARCY EQUATIONS; CONVERGENCE; FLOW; MEDIA; FLUID; ELASTODYNAMICS; EXISTENCE;
D O I
10.1090/S0033-569X-2013-01289-X
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We investigate continuous dependence of the solution on the coefficients of the reaction terms for the problem where convection in a saturated porous medium is primarily due to chemical reactions on the boundary. Such boundary reaction terms are not obviously controllable by the usual arguments involving integrals of the functions themselves over the interior domain. Continuous dependence is established for a porous medium of Brinkman type in a general three-dimensional setting.
引用
收藏
页码:501 / 508
页数:8
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