Asymptotic Behavior of the Solutions of an Elliptic-Parabolic System Arising in Flow in Porous Media | Zendy

Youcef Amirat | Zendy; Abdelhamid Ziani | Zendy

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Asymptotic Behavior of the Solutions of an Elliptic-Parabolic System Arising in Flow in Porous Media

Author(s) -

Youcef Amirat,

Abdelhamid Ziani

Publication year - 2004

Publication title -

zeitschrift für analysis und ihre anwendungen

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.567

H-Index - 35

eISSN - 1661-4534

pISSN - 0232-2064

DOI - 10.4171/zaa/1202

Subject(s) - degenerate energy levels , porous medium , nonlinear system , compressibility , displacement (psychology) , péclet number , parabolic partial differential equation , compact space , mathematical analysis , diffusion , elliptic flow , mathematics , flow (mathematics) , mechanics , physics , porosity , materials science , partial differential equation , thermodynamics , psychology , ion , quantum mechanics , heavy ion , composite material , psychotherapist

We study the asymptotic behavior, with respect to high Peclet numbers, of the solutions of the nonlinear elliptic-parabolic system governing the displacement of one incompressible fluid by another, completely miscible with the first, in a porous medium. Using compensated compactness techniques, we obtain the existence of a global weak solution to the nonlinear degenerate elliptic-parabolic system modelling the flow when the molecular diffusion effects are neglected.

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