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

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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

Pseudoparabolic Equations
Degenerate Equations
Flow in Porous Media
Two-phase Flow
Traveling Wave Solutions
Linear Order
Term
Modeling
Higher Order

Cite this

Duijn, van, C. J., Fan, Y., Peletier, L. A., & Pop, I. S. (2010). Travelling wave solutions for degenerate pseudo-parabolic equation modelling two-phase flow in porous media. (CASA-report; Vol. 1001). Eindhoven: Technische Universiteit Eindhoven.
Duijn, van, C.J. ; Fan, Y. ; Peletier, L.A. ; Pop, I.S. / Travelling wave solutions for degenerate pseudo-parabolic equation modelling two-phase flow in porous media. Eindhoven : Technische Universiteit Eindhoven, 2010. 30 p. (CASA-report).
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Duijn, van, CJ, Fan, Y, Peletier, LA & Pop, IS 2010, Travelling wave solutions for degenerate pseudo-parabolic equation modelling two-phase flow in porous media. CASA-report, vol. 1001, Technische Universiteit Eindhoven, Eindhoven.

Travelling wave solutions for degenerate pseudo-parabolic equation modelling two-phase flow in porous media. / Duijn, van, C.J.; Fan, Y.; Peletier, L.A.; Pop, I.S.

Eindhoven : Technische Universiteit Eindhoven, 2010. 30 p. (CASA-report; Vol. 1001).

Research output: Book/ReportReportAcademic

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Duijn, van CJ, Fan Y, Peletier LA, Pop IS. Travelling wave solutions for degenerate pseudo-parabolic equation modelling two-phase flow in porous media. Eindhoven: Technische Universiteit Eindhoven, 2010. 30 p. (CASA-report).