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

Onderzoeksoutput: Bijdrage aan tijdschriftTijdschriftartikelAcademicpeer review

44 Citaten (Scopus)
7 Downloads (Pure)

Samenvatting

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
Originele taal-2Engels
Pagina's (van-tot)1361-1383
TijdschriftNonlinear Analysis : Real World Applications
Volume14
Nummer van het tijdschrift3
DOI's
StatusGepubliceerd - 2013

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