Steady nonlinear double-diffusive convection in a porous medium based upon the Brinkman-Forchheimer model

被引:40
作者
Kaloni, PN
Guo, JL
机构
[1] Dept. of Mathematics and Statistics, University of Windsor, Windsor, Ont.
关键词
D O I
10.1006/jmaa.1996.0428
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A theoretical study of the problem of steady nonlinear double-diffusive convection through a porous medium is presented. The Brinkman-Forchheimer model is used to represent the porous medium. A variational formulation is given to deal with the weak solution and the existence, regularity, and uniqueness results are discussed. (C) 1996 Academic Press, Inc.
引用
收藏
页码:138 / 155
页数:18
相关论文
共 15 条
[2]  
ALLAIRE G, 1991, COMMUN PUR APPL MATH, V44, P609
[3]  
[Anonymous], J FLUID MECH
[4]  
BRINKMAN HC, 1947, APPL SCI RES, V1, P27
[5]  
Gilbar D., 1983, ELLIPTIC PARTIAL DIF
[6]  
HOPF E, 1940, MATH ANN, V117, P765
[7]  
Ladyzhenskaya O. A., 1969, MATH THEORY VISCOUS
[8]  
Lions J. L., 1969, QUELQUES METHODES RE
[9]  
LUNDGREN TS, 1972, J FLUID MECH, V51, P733
[10]   DOUBLE-DIFFUSIVE CONVECTION IN A POROUS-MEDIUM [J].
MURRAY, BT ;
CHEN, CF .
JOURNAL OF FLUID MECHANICS, 1989, 201 :147-166