Abstract
This paper is concerned with a multi-component fluid flow (heat, air and vapour) through three-dimensional porous media, which is described by a system of nonlinear, degenerate and strongly coupled parabolic equations. We prove global existence of a weak solution to the system with commonly used boundary conditions in engineering and under general hypotheses of the physical parameters. Positivity of temperature and nonnegativity of densities are also obtained.
| Original language | English |
|---|---|
| Pages (from-to) | 421-447 |
| Number of pages | 27 |
| Journal | Nonlinearity |
| Volume | 25 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 1 Feb 2012 |
| Externally published | Yes |
ASJC Scopus subject areas
- Applied Mathematics
- General Physics and Astronomy
- Statistical and Nonlinear Physics
- Mathematical Physics