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.
ASJC Scopus subject areas
- Applied Mathematics
- Physics and Astronomy(all)
- Statistical and Nonlinear Physics
- Mathematical Physics