Geodesic
Solutions to a model for compressible immiscible two phase flow in porous media
Electronic Journal of Differential Equations, Tome 2010 (2010).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: In this article, we study the existence of solutions to a nonlinear degenerate system modelling the displacement of two-phase compressible immiscible flow in a three dimensional porous media. The aim of this work is to treat the model with its general form with the whole nonlinear terms. Especially, we consider the case where the density of each phase depends on its corresponding pressure. We derive new energy estimates on velocities, saturations and pressures to treat the degeneracy of the system. A compactness result is shown for degenerate systems.
Classification : 35K57, 35K55, 92D30
Keywords: degenerate system, nonlinear parabolic system, compressible flow, porous media 
@article{EJDE_2010__2010__a129,
     author = {Khalil, Ziad and Saad, Mazen},
     title = {Solutions to a model for compressible immiscible two phase flow in porous media},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2010},
     year = {2010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a129/}
}
TY  - JOUR
AU  - Khalil, Ziad
AU  - Saad, Mazen
TI  - Solutions to a model for compressible immiscible two phase flow in porous media
JO  - Electronic Journal of Differential Equations
PY  - 2010
VL  - 2010
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a129/
LA  - en
ID  - EJDE_2010__2010__a129
ER  - 
%0 Journal Article
%A Khalil, Ziad
%A Saad, Mazen
%T Solutions to a model for compressible immiscible two phase flow in porous media
%J Electronic Journal of Differential Equations
%D 2010
%V 2010
%I mathdoc
%U http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a129/
%G en
%F EJDE_2010__2010__a129
Khalil, Ziad; Saad, Mazen. Solutions to a model for compressible immiscible two phase flow in porous media. Electronic Journal of Differential Equations, Tome 2010 (2010). http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a129/