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

Buyang Li; Weiwei Sun; Yi Wang

doi:10.1016/j.jde.2010.05.018

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

Buyang Li, Weiwei Sun, Yi Wang

Research output: Journal article publication › Journal article › Academic research › peer-review

19 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	2618-2642
Number of pages	25
Journal	Journal of Differential Equations
Volume	249
Issue number	10
DOIs	https://doi.org/10.1016/j.jde.2010.05.018
Publication status	Published - 1 Nov 2010
Externally published	Yes

Keywords

Global weak solution
Heat and moisture transfer
Porous media

ASJC Scopus subject areas

Analysis

More information

10.1016/j.jde.2010.05.018

Cite this

@article{9d6f2277cdf64e248a73b1df6a000eed,

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

abstract = "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.",

keywords = "Global weak solution, Heat and moisture transfer, Porous media",

author = "Buyang Li and Weiwei Sun and Yi Wang",

year = "2010",

month = nov,

day = "1",

doi = "10.1016/j.jde.2010.05.018",

language = "English",

volume = "249",

pages = "2618--2642",

journal = "Journal of Differential Equations",

issn = "0022-0396",

publisher = "Academic Press Inc.",

number = "10",

}

TY - JOUR

T1 - Global existence of weak solution to the heat and moisture transport system in fibrous porous media

AU - Li, Buyang

AU - Sun, Weiwei

AU - Wang, Yi

PY - 2010/11/1

Y1 - 2010/11/1

N2 - 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.

AB - 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.

KW - Global weak solution

KW - Heat and moisture transfer

KW - Porous media

UR - http://www.scopus.com/inward/record.url?scp=77956266426&partnerID=8YFLogxK

U2 - 10.1016/j.jde.2010.05.018

DO - 10.1016/j.jde.2010.05.018

M3 - Journal article

SN - 0022-0396

VL - 249

SP - 2618

EP - 2642

JO - Journal of Differential Equations

JF - Journal of Differential Equations

IS - 10

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

More information

Other files and links

Fingerprint

Cite this