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

Buyang Li Weiwei Sun Yi Wang

Analysis of PDEs mathscidoc:1912.43758

Journal of Differential Equations, 249, (10), 2618-2642, 2010.11
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.
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@inproceedings{buyang2010global,
  title={Global existence of weak solution to the heat and moisture transport system in fibrous porous media},
  author={Buyang Li, Weiwei Sun, and Yi Wang},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224205547503864322},
  booktitle={Journal of Differential Equations},
  volume={249},
  number={10},
  pages={2618-2642},
  year={2010},
}
Buyang Li, Weiwei Sun, and Yi Wang. Global existence of weak solution to the heat and moisture transport system in fibrous porous media. 2010. Vol. 249. In Journal of Differential Equations. pp.2618-2642. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224205547503864322.
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