Travelling wave solutions for degenerate pseudo-parabolic equation modelling two-phase flow in porous media
C.J. van Duijn, Yabin Fan, Lambertus A. Peletier, I. Pop · CASA-report · 2010
We discuss a pseudo-parabolic equation modelling two-phase flow in porous media, which includes a dynamic capillary pressure term. We extend results obtained previously for linear higher order terms and investigate the existence of travelling wave solutions in the non-linear and degenerate case. These cases may lead to non-smooth travelling waves, as well as to a discontinuous capillary pressure.