  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.
