Geodesic
Stability of the interface between two immiscible fluids in porous media
Electronic Journal of Differential Equations, Tome 2003 (2003).

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

Summary: A generalized model has been recently proposed in [3] to describe deformations of the mobile interface separating two immiscible and compressible fluids in a deformable porous medium. This paper deals with a few applications of this model in realistic situations where it can be supposed that gravity perturbations are propagating much slower than elastic perturbations. Among these applications, one can include the classical well-known case of groundwater flow with free surface, but also more complex phenomena, as gravitational instability with finger growth.
Classification : 76B15, 35R35, 76T05
Keywords: porous media, two-phase flow, interface, instability 
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     author = {Calugaru, Cerasela I. and Calugaru, Dan-Gabriel and Crolet, Jean-Marie and Panfilov, Michel},
     title = {Stability of the interface between two immiscible fluids in porous media},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2003},
     year = {2003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2003__2003__a18/}
}
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Calugaru, Cerasela I.; Calugaru, Dan-Gabriel; Crolet, Jean-Marie; Panfilov, Michel. Stability of the interface between two immiscible fluids in porous media. Electronic Journal of Differential Equations, Tome 2003 (2003). http://geodesic.mathdoc.fr/item/EJDE_2003__2003__a18/