An existence result related to two-phase flows with dynamical capillary pressure

C. Cancès, C. Choquet, Y. Fan, I.S. Pop

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/CongresprocedureConferentiebijdrageAcademicpeer review

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Samenvatting

We consider a nonlinear degenerate pseudo-parabolic equation arising in the modeling of immiscible two-phase flows within porous media when the dynamic capillary pressure Pc = p(s) + T¿ts is a function of both the saturation s and its time derivative ¿ts. We show the existence of a weak solution to the problem using the compactness of a sequence of regularizations of the problem.
Originele taal-2Engels
TitelProceedings of the 4th International Conference on Approximation Methods and Numerical Modeling in Environment and Natural Resources (MAMERN'11, Saidia, Morocco, May 23-26, 2011)
Plaats van productieGranada
UitgeverijUniversidad de Granada
Pagina's1-4
StatusGepubliceerd - 2011

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  • Citeer dit

    Cancès, C., Choquet, C., Fan, Y., & Pop, I. S. (2011). An existence result related to two-phase flows with dynamical capillary pressure. In Proceedings of the 4th International Conference on Approximation Methods and Numerical Modeling in Environment and Natural Resources (MAMERN'11, Saidia, Morocco, May 23-26, 2011) (blz. 1-4). Granada: Universidad de Granada.