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.
1
King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia
S. Challal; Abdeslem Lyaghfouri. A filtration problem through a heterogeneous porous medium. Interfaces and free boundaries, Tome 6 (2004) no. 1, pp. 55-79. doi: 10.4171/ifb/91
@article{10_4171_ifb_91,
author = {S. Challal and Abdeslem Lyaghfouri},
title = {A filtration problem through a heterogeneous porous medium},
journal = {Interfaces and free boundaries},
pages = {55--79},
year = {2004},
volume = {6},
number = {1},
doi = {10.4171/ifb/91},
url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/91/}
}
TY - JOUR
AU - S. Challal
AU - Abdeslem Lyaghfouri
TI - A filtration problem through a heterogeneous porous medium
JO - Interfaces and free boundaries
PY - 2004
SP - 55
EP - 79
VL - 6
IS - 1
UR - http://geodesic.mathdoc.fr/articles/10.4171/ifb/91/
DO - 10.4171/ifb/91
ID - 10_4171_ifb_91
ER -
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%A Abdeslem Lyaghfouri
%T A filtration problem through a heterogeneous porous medium
%J Interfaces and free boundaries
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%N 1
%U http://geodesic.mathdoc.fr/articles/10.4171/ifb/91/
%R 10.4171/ifb/91
%F 10_4171_ifb_91
