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Existence and stability of weak solutions for a degenerate parabolic system modelling two-phase flows in porous media |
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| Authors: | Joachim Escher |
| Affiliation: | a Institut für Angewandte Mathematik, Leibniz Universität Hannover, Welfengarten 1, 30167 Hannover, Germany b Institut de Mathématiques de Toulouse, CNRS UMR 5219, Université de Toulouse, F-31062 Toulouse cedex 9, France |
| Abstract: | We prove global existence of nonnegative weak solutions to a degenerate parabolic system which models the interaction of two thin fluid films in a porous medium. Furthermore, we show that these weak solutions converge at an exponential rate towards flat equilibria. |
| Keywords: | 35K65 35K40 35D30 35B35 35Q35 |
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