Existence and stability of weak solutions for a degenerate parabolic system modelling two-phase flows in porous media
Analysis of PDEs
2011-10-31 v1
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.
Keywords
Cite
@article{arxiv.1101.3964,
title = {Existence and stability of weak solutions for a degenerate parabolic system modelling two-phase flows in porous media},
author = {Joachim Escher and Philippe Laurencot and Bogdan-Vasile Matioc},
journal= {arXiv preprint arXiv:1101.3964},
year = {2011}
}