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

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.

preprint2011arXivOpen access
Joachim EscherPhilippe LaurencotBogdan-Vasile Matioc
math.AP
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Open access3 authors1 topic
Imported metadata coverageMissing code, dataset, citation and institution fields are tracked without dominating the paper.Details
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Joachim EscherPhilippe LaurencotBogdan-Vasile Matioc

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