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

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

19 Scopus Citations
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Detail(s)

Original languageEnglish
Pages (from-to)2618-2642
Journal / PublicationJournal of Differential Equations
Volume249
Issue number10
Publication statusPublished - Nov 2010

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. © 2010 Elsevier Inc.

Research Area(s)

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