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

2009/08/09 by Buyang Li, Weiwei Sun, Li, Buyang +3
Engineering · Materials Science · #Analysis of PDEs (math.AP) #Composite Material Mechanics #FOS: Mathematics #Textile materials and evaluations #Thermoelastic and Magnetoelastic Phenomena

paper · pdf · doi:10.48550/arxiv.0908.1230

openalex publication_date 2009/08/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 physcial nature of gas convection, in which the heat (energy) flux in convection is determined by the mass (vapor) flux in convection.

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