Electronic Journal of Differential Equations,
Vol. 2013 (2013), No. 254, pp. 1-7.

Title: Existence and uniqueness of solutions for miscible liquids model
       in porous media

Author: Karam Allali (Univ. Hassan II,  Mohammedia, Morocco)

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.