Global existence of weak solution to the heat and moisture transport system in fibrous porous media

被引：22
|
作者：
Li, Buyang [1 ]
Sun, Weiwei [1 ]
Wang, Yi [2 ]
机构：
[1] City Univ Hong Kong, Dept Math, Kowloon, Hong Kong, Peoples R China
[2] Chinese Acad Sci, AMSS, Inst Appl Math, Beijing 100190, Peoples R China
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2010年 / 249卷 / 10期
关键词：
Heat and moisture transfer; Porous media; Global weak solution; MISCIBLE DISPLACEMENT; CLOTHING ASSEMBLIES; CONDENSATION; INSULATION; SORPTION; MODEL;
D O I：
10.1016/j.jde.2010.05.018
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper is concerned with theoretical analysis of a heat and moisture transfer model arising from textile industries, which is described by a degenerate and strongly coupled parabolic system. We prove the global (in time) existence of weak solution by constructing an approximate solution with some standard smoothing. The proof is based on the physical nature of gas convection, in which the heat (energy) flux in convection is determined by the mass (vapor) flux in convection. (C) 2010 Elsevier Inc. All rights reserved.
引用
收藏
页码：2618 / 2642
页数：25
相关论文
共 50 条
  • [1] GLOBAL WEAK SOLUTION FOR A HEAT AND SWEAT TRANSPORT SYSTEM IN THREE-DIMENSIONAL FIBROUS POROUS MEDIA WITH CONDENSATION/EVAPORATION AND ABSORPTION
    Li, Buyang
    Sun, Weiwei
    [J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2012, 44 (03) : 1448 - 1473
  • [2] GLOBAL EXISTENCE OF WEAK SOLUTION FOR NONISOTHERMAL MULTICOMPONENT FLOW IN POROUS TEXTILE MEDIA
    Li, Buyang
    Sun, Weiwei
    [J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2010, 42 (06) : 3076 - 3102
  • [3] Swelling porous media model: Existence of a weak solution
    Kane, Souleye
    [J]. COMPTES RENDUS MATHEMATIQUE, 2008, 346 (23-24) : 1267 - 1270
  • [4] On the Solution of Coupled Heat and Moisture Transport in Porous Material
    Berger, Julien
    Gasparin, Suelen
    Dutykh, Denys
    Mendes, Nathan
    [J]. TRANSPORT IN POROUS MEDIA, 2018, 121 (03) : 665 - 702
  • [5] On the Solution of Coupled Heat and Moisture Transport in Porous Material
    Julien Berger
    Suelen Gasparin
    Denys Dutykh
    Nathan Mendes
    [J]. Transport in Porous Media, 2018, 121 : 665 - 702
  • [6] Multidimensional model of heat-moisture transport in porous media
    Ravshanov, N.
    Shadmanov, I. U.
    [J]. IV INTERNATIONAL SCIENTIFIC AND TECHNICAL CONFERENCE MECHANICAL SCIENCE AND TECHNOLOGY UPDATE (MSTU-2020), 2020, 1546
  • [7] Modeling of heat and moisture transport by periodic ventilation of thin cotton fibrous media
    Ghali, K
    Ghaddar, N
    Jones, B
    [J]. INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2002, 45 (18) : 3703 - 3714
  • [8] Heat transfer in fibrous porous media
    Mierzwiczak, M.
    Mrozek, K.
    Muszynski, P.
    [J]. INSIGHTS AND INNOVATIONS IN STRUCTURAL ENGINEERING, MECHANICS AND COMPUTATION, 2016, : 426 - 432
  • [9] Study of heat and moisture transport of superheated steam in porous media.
    多孔介质中过热蒸汽迁移过程的模型试验
    [J]. Hu, Li-Ming (gehu@tsinghua.edu.cn), 1600, Chinese Society for Environmental Sciences (44):
  • [10] SIMULTANEOUS TRANSPORT OF HEAT AND MOISTURE IN A PARTIALLY SATURATED POROUS-MEDIA
    MULAY, SP
    WOREK, WM
    [J]. INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER, 1990, 17 (02) : 135 - 145
12345