On the existence of classical solutions for a two phase flow through saturated porous media
- Hengst, Sabine
2010 Mathematics Subject Classification
- 35J15 35K20 76S05 76T05 80A20
- Elliptic-parabolic differential equations, two-phase flow, porous media, mathematical analysis
In this paper an elliptic-parabolic coupled system arising from a two-phase flow through a saturated porous medium is considered. The uniqueness and the existence of classical solutions are proved. The asymptotic behavior of solutions for large time is shown, too.