Initial Boundary Value Problems for a Quasi-linear Parabolic System in Three-Phase Capillary Flow in Porous Media

We study two types of initial boundary value problems for a quasi-linear parabolic system motivated by three-phase flows in porous media in the presence of capillarity effects. The first type of problem prescribes a mixed boundary condition, involving a combination of the value of the solution and i...

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Bibliographic Details
Published in:	SIAM journal on mathematical analysis Vol. 36; no. 5; pp. 1407 - 1425
Main Authors:	Frid, Hermano, Shelukhin, Vladimir
Format:	Journal Article
Language:	English
Published:	Philadelphia Society for Industrial and Applied Mathematics 01.01.2005
Subjects:	Applied mathematics Boundary conditions Boundary value problems Estimates Grants
ISSN:	0036-1410, 1095-7154
Online Access:	Get full text
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