Existence and uniqueness of solutions for miscible liquids model in porous media
Karam Allali · DOAJ (DOAJ: Directory of Open Access Journals) · 2013
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.