Existence and stability of weak solutions for a degenerate parabolic system modelling two-phase flows in porous media
arXiv:1101.3964 · doi:10.1016/j.anihpc.2011.04.001
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.