Global weak solution for a heat and sweat transport system in three-dimensional fibrous porous media with condensation/evaporation and absorption

Buyang Li, Weiwei Sun

Research output: Journal article publicationJournal articleAcademic researchpeer-review

6 Citations (Scopus)


This paper is concerned with heat and moisture transport in three-dimensional porous textile media with complex phase change, condensation/evaporation, and absorption. The physical process is described as multiphase and multicomponent (air, vapor, water, and heat) flow governed by a system of nonlinear, degenerate, and strongly coupled parabolic equations. In this paper, we prove global existence of a positive weak solution under the physical assumption that the initial and background temperatures are not higher than about 1000K.
Original languageEnglish
Pages (from-to)1448-1473
Number of pages26
JournalSIAM Journal on Mathematical Analysis
Issue number3
Publication statusPublished - 28 May 2012
Externally publishedYes


  • Absorption
  • Condensation/evaporation
  • Existence
  • Multicomponent
  • Porous media

ASJC Scopus subject areas

  • Analysis
  • Computational Mathematics
  • Applied Mathematics

Cite this