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 publicationJournal articleAcademic researchpeer-review

17 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 languageEnglish
Pages (from-to)2618-2642
Number of pages25
JournalJournal of Differential Equations
Volume249
Issue number10
DOIs
Publication statusPublished - 1 Nov 2010
Externally publishedYes

Keywords

  • Global weak solution
  • Heat and moisture transfer
  • Porous media

ASJC Scopus subject areas

  • Analysis

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