Global existence of weak solution for nonisothermal multicomponent flow in porous textile media

Buyang Li, Weiwei Sun

Research output: Journal article publicationJournal articleAcademic researchpeer-review

17 Citations (Scopus)


In this paper, we study nonisothermal two-component (air and vapor) fluid flow through a porous textile medium with phase change, which is described by a degenerate and strongly coupled parabolic system. We prove global existence of weak solutions to the heat-air-vapor system and the positivity/nonnegativity of solutions. The analysis presented in this paper can be applied directly to multicomponent heat and mass transport models in many other areas, such as petroleum engineering, building materials, and fuel cells.
Original languageEnglish
Pages (from-to)3076-3102
Number of pages27
JournalSIAM Journal on Mathematical Analysis
Issue number6
Publication statusPublished - 1 Dec 2010
Externally publishedYes


  • Existence
  • Heat and moisture transport
  • Multicomponent
  • Porous media

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics
  • Computational Mathematics

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