EXISTENCE AND STABILITY OF WEAK SOLUTIONS FOR A DEGENERATE PARABOLIC SYSTEM MODELLING TWO-PHASE FLOWS IN POROUS MEDIA
Joachim Escher, Philippe Laurençot, Bogdan–vasile Matioc · 2016
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.