Existence and stability of weak solutions for a degenerate parabolic system modelling two-phase flows in porous media
classification
🧮 math.AP
keywords
solutionsweakdegenerateexistenceparabolicporoussystemconverge
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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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