Non-classical shocks for Buckley-Leverett : degenerate pseudo-parabolic regularisation

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We consider oil-water flow in porous media, with a dynamic capillary pressure relation. This leads to a pseudo-parabolic degenerate regularisation of the Buckley-Leverett (BL) equation. It is known that linear pseudo-parabolic regularisations of BL lead to shock solutions that do not satisfy the Oleinik condition. In this note we analyse the existence of travelling wave solutions that violate the Oleinik condotion, taking special care of the degeneracy of the problem
Original languageEnglish
Title of host publicationProgress in Industrial Mathematics at ECMI 2004 (Proceedings 13th European Conference on Mathematics for Industry, Eindhoven, The Netherlands, June 21-25, 2004)
EditorsA. Di Bucchianico, R.M.M. Mattheij, M.A. Peletier
Place of PublicationBerlin
ISBN (Print)3-540-28073-1
Publication statusPublished - 2006

Publication series

NameMathematics in Industry
ISSN (Print)1612-3956


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