A filtration problem through a heterogeneous porous medium | Zendy

S. Challal | Zendy; Abdeslem Lyaghfouri | Zendy

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A filtration problem through a heterogeneous porous medium

Author(s) -

S. Challal,

Abdeslem Lyaghfouri

Publication year - 2004

Publication title -

interfaces and free boundaries mathematical analysis computation and applications

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.964

H-Index - 39

eISSN - 1463-9971

pISSN - 1463-9963

DOI - 10.4171/ifb/91

Subject(s) - porous medium , uniqueness , darcy's law , filtration (mathematics) , nonlinear system , dirichlet boundary condition , mathematics , boundary value problem , mathematical analysis , permeability (electromagnetism) , porosity , materials science , physics , membrane , pure mathematics , chemistry , biochemistry , quantum mechanics , composite material

Summary The flow of a fluid through a heterogeneous porous medium is studied, assuming it is governed by a nonlinear Darcy law and Dirichlet boundary conditions. Under a general condition on the permeability we prove that the free boundary is locally a continuous curve in some local coordinates. We also prove the uniqueness of the reservoirs-connected solution.

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