纤维多孔介质中热湿迁移方程组弱解的整体存在性
Global existence of weak solution to the heat and moisture transport system in fibrous porous media
摘要：
本文对纺织工业中的热湿迁移模型进行了理论分析，该模型是一个退化的强耦合抛物方程组。通过构造一个近似解，证明了该方程的弱解的整体（时间）存在性。该证明是基于气体对流的物理本质，即对流中的热（能）通量取决于对流中的质（汽）通量。
英文摘要：
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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