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2004 Classical solutions for a multicomponent flow model in porous media
Youcef Amirat, Abdelhamid Ziani
Differential Integral Equations 17(7-8): 893-920 (2004). DOI: 10.57262/die/1356060335


We consider an initial-boundary-value problem for a nonlinear differential system consisting of one equation of parabolic type coupled with an $n \times n$ semilinear hyperbolic system of first order. This system of equations describes the compressible, $ ( n +1 )$-component, miscible displacement in a porous medium, without including effects of molecular diffusion and dispersion. Assuming some regularity conditions on the data, we prove the existence (locally in time) and uniqueness of classical solutions.


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Youcef Amirat. Abdelhamid Ziani. "Classical solutions for a multicomponent flow model in porous media." Differential Integral Equations 17 (7-8) 893 - 920, 2004.


Published: 2004
First available in Project Euclid: 21 December 2012

zbMATH: 1150.35511
MathSciNet: MR2075412
Digital Object Identifier: 10.57262/die/1356060335

Primary: 35Q35
Secondary: 76N10 , 76S05

Rights: Copyright © 2004 Khayyam Publishing, Inc.

Vol.17 • No. 7-8 • 2004
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