Ziad Khalil, Mazen Saad
Abstract:
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.
Submitted May 7, 2010. Published August 30, 2010.
Math Subject Classifications: 35K57, 35K55, 92D30.
Key Words: Degenerate system; nonlinear parabolic system;
compressible flow; porous media.
Show me the PDF file (393 KB), TEX file, and other files for this article.
| Ziad Khalil Ecole Centrale de Nantes, Laboratoire de Mathématiques Jean Leray UMR CNRS 6629, 1, rue de la Noé, 44321 Nantes, France email: Ziad.Khalil@ec-nantes.fr | |
 |
Mazen Saad Ecole Centrale de Nantes, Laboratoire de Mathématiques Jean Leray UMR CNRS 6629, 1, rue de la Noé, 44321 Nantes, France email: Mazen.Saad@ec-nantes.fr |
Return to the EJDE web page