Travelling wave solutions for degenerate pseudo-parabolic equation modelling two-phase flow in porous media

C.J. Duijn, van, Y. Fan, L.A. Peletier, I.S. Pop

Research output: Book/ReportReportAcademic

172 Downloads (Pure)

Abstract

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.
Original languageEnglish
Place of PublicationEindhoven
PublisherTechnische Universiteit Eindhoven
Number of pages30
Publication statusPublished - 2010

Publication series

NameCASA-report
Volume1001
ISSN (Print)0926-4507

Fingerprint Dive into the research topics of 'Travelling wave solutions for degenerate pseudo-parabolic equation modelling two-phase flow in porous media'. Together they form a unique fingerprint.

Cite this