GLOBAL EXISTENCE OF WEAK SOLUTION FOR NONISOTHERMAL MULTICOMPONENT FLOW IN POROUS TEXTILE MEDIA

被引：21
|
作者：
Li, Buyang [1 ]
Sun, Weiwei [1 ]
机构：
[1] City Univ Hong Kong, Dept Math, Kowloon, Hong Kong, Peoples R China
来源：
SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2010年 / 42卷 / 06期
关键词：
heat and moisture transport; multicomponent; porous media; existence; MOISTURE TRANSFER; MISCIBLE DISPLACEMENT; HEAT; CONDENSATION; TRANSPORT; SYSTEM; UNIQUENESS; SORPTION; MODEL;
D O I：
10.1137/10078565X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study nonisothermal two-component (air and vapor) fluid flow through a porous textile medium with phase change, which is described by a degenerate and strongly coupled parabolic system. We prove global existence of weak solutions to the heat-air-vapor system and the positivity/nonnegativity of solutions. The analysis presented in this paper can be applied directly to multicomponent heat and mass transport models in many other areas, such as petroleum engineering, building materials, and fuel cells.
引用
收藏
页码：3076 / 3102
页数：27
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