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: Contribution to journalArticleAcademicpeer-review

44 Citations (Scopus)
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Abstract

We discuss a pseudo-parabolic equation modelling two-phase flow in porous media, which includes dynamic effects in the capillary pressure. We extend the results obtained previously for linear higher order terms and investigate the existence of travelling wave solutions in the non-linear and degenerate case. This case leads to non-smooth travelling waves, as well as to a discontinuous capillary pressure. Keywords: Dynamic capillary pressure; Non-linear; Degenerate; Pseudo-parabolic equations; Sharp travelling waves
Original languageEnglish
Pages (from-to)1361-1383
JournalNonlinear Analysis : Real World Applications
Volume14
Issue number3
DOIs
Publication statusPublished - 2013

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