Geodesic
Existence and uniqueness of solutions for miscible liquids model in porous media
Electronic Journal of Differential Equations, Tome 2013 (2013).

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

Summary: 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.
Classification : 35A01, 35A02, 76D03, 76S05
Keywords: Darcy approximation, Korteweg stress, miscible liquids, porous media 
@article{EJDE_2013__2013__a172,
     author = {Allali, Karam},
     title = {Existence and uniqueness of solutions for miscible liquids model in porous media},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2013},
     year = {2013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a172/}
}
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Allali, Karam. Existence and uniqueness of solutions for miscible liquids model in porous media. Electronic Journal of Differential Equations, Tome 2013 (2013). http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a172/