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

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

2009-08-09

arxiv.org/abs/0908.1230v1

Mathematics

Analysis of PDEs

19 pages

Scientific paper

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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