Global weak solution for a heat and sweat transport system in three-dimensional fibrous porous media with condensation/evaporation and absorption
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 1448-1473 |
| Journal / Publication | SIAM Journal on Mathematical Analysis |
| Volume | 44 |
| Issue number | 3 |
| Publication status | Published - 2012 |
Link(s)
| DOI | DOI |
|---|---|
| Attachment(s) | Documents
Publisher's Copyright Statement
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| Link to Scopus | https://www.scopus.com/record/display.uri?eid=2-s2.0-84861405078&origin=recordpage |
| Permanent Link | https://scholars.cityu.edu.hk/en/publications/publication(52f32c2d-cd34-42ea-952a-c81e77ad4a8b).html |
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. © 2012 Society for Industrial and Applied Mathematics.
Research Area(s)
- Absorption, Condensation/evaporation, Existence, Multicomponent, Porous media
Citation Format(s)
Global weak solution for a heat and sweat transport system in three-dimensional fibrous porous media with condensation/evaporation and absorption. / Li, Buyang; Sun, Weiwei.
In: SIAM Journal on Mathematical Analysis, Vol. 44, No. 3, 2012, p. 1448-1473.
In: SIAM Journal on Mathematical Analysis, Vol. 44, No. 3, 2012, p. 1448-1473.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
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