WIAS Preprint No. 145, (1995)

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.

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