Existence and stability of weak solutions for a degenerate parabolic system modelling two-phase flows in porous media

Details Existence and stability of weak solutions for a degenerate parabolic system modelling two-phase flows in porous media Existence and stability of weak solutions for a degenerate parabolic system modelling two-phase flows in porous media

2011-01-20

arxiv.org/abs/1101.3964v1

Annales de l'Institut Henri Poincar\'e Analyse non lin\'eaire 28 (2011) 583-598

Mathematics

Analysis of PDEs

Scientific paper

10.1016/j.anihpc.2011.04.001

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.

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