Abstract
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 language | English |
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Pages (from-to) | 1448-1473 |
Number of pages | 26 |
Journal | SIAM Journal on Mathematical Analysis |
Volume | 44 |
Issue number | 3 |
DOIs | |
Publication status | Published - 28 May 2012 |
Externally published | Yes |
Keywords
- Absorption
- Condensation/evaporation
- Existence
- Multicomponent
- Porous media
ASJC Scopus subject areas
- Analysis
- Computational Mathematics
- Applied Mathematics