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

doi:10.1016/j.nonrwa.2012.10.002

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 tijdschrift › Tijdschriftartikel › Academic › peer review

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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-2	Engels
Pagina's (van-tot)	1361-1383
Tijdschrift	Nonlinear Analysis : Real World Applications
Volume	14
Nummer van het tijdschrift	3
DOI's	https://doi.org/10.1016/j.nonrwa.2012.10.002
Status	Gepubliceerd - 2013

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10.1016/j.nonrwa.2012.10.002

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

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",

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AU - Peletier, L.A.

AU - Pop, I.S.

PY - 2013

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AB - 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

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JF - Nonlinear Analysis : Real World Applications

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

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