Global weak solutions of a three-dimensional flow model for a multi-species mixture in porous media
✍ Scribed by Youcef Amirat; Yue-Jun Peng
- Publisher
- John Wiley and Sons
- Year
- 1998
- Tongue
- English
- Weight
- 138 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0170-4214
No coin nor oath required. For personal study only.
✦ Synopsis
We consider an initial boundary value problem for a non-linear differential system consisting of one equation of parabolic type coupled with a n;n semi-linear hyperbolic system of first order. This system of equations describes the compressible miscible displacement of n#1 chemical species in a porous medium, in the absence of diffusion and dispersion. We assume the viscosity of the fluid mixture to be constant. We prove, in three space dimensions, the existence of a global weak solution with non-smooth initial data for the concentration. The proof is based on the artificial viscosity method together with a compensated compactness argument.