Department of Mathematics
Faculty of Sciences and Technologies
University Hassan II, PO Box 146
Mohammedia, Morocco
email: allali@fstm.ac.ma
Karam Allali
Abstract:
In this article, we study the existence and uniqueness of
solutions for miscible liquids model in porous media.
The model describing the phenomenon is a system of equations
coupling hydrodynamic equations with concentration equation
taking into account the Korteweg stress. We assume that the
fluid is incompressible and its motion is described by the
Darcy law. We prove the existence and uniqueness of global
solutions for the initial boundary value problem.
Submitted September 30, 2013. Published November 20, 2013.
Math Subject Classifications: 35A01, 35A02, 76D03, 76S05.
Key Words: Darcy approximation; Korteweg stress; miscible liquids;
porous media.
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Karam Allali Department of Mathematics Faculty of Sciences and Technologies University Hassan II, PO Box 146 Mohammedia, Morocco email: allali@fstm.ac.ma |
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