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Applicable Analysis
An International Journal
Volume 92, 2013 - Issue 7
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Articles

Homogenization results for a coupled system modelling immiscible compressible two-phase flow in porous media by the concept of global pressure

Brahim Amaziane UNIV PAU & PAYS ADOUR, Laboratoire de Mathématiques et de leurs Applications, CNRS-UMR 5142, Av. de l'Université, 64000 Pau, FranceCorrespondence[email protected]
,
Mladen Jurak Faculty of Science, University of Zagreb, Bijenicka 30, 10000 Zagreb, Croatia
&
Anja Vrbaški Faculty of Science, University of Zagreb, Bijenicka 30, 10000 Zagreb, Croatia
Pages 1417-1433 | Received 20 Jan 2012, Accepted 28 Mar 2012, Published online: 08 May 2012

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S. Sharmin, M. Bastidas, C. Bringedal & I. S. Pop. (2022) Upscaling a Navier-Stokes-Cahn-Hilliard model for two-phase porous-media flow with solute-dependent surface tension effects. Applicable Analysis 101:12, pages 4171-4193.
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B. Amaziane & L. Pankratov. (2022) Homogenization of coupled immiscible compressible two-phase flow with kinetics in porous media. Applicable Analysis 101:1, pages 241-262.
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Articles from other publishers (9)

B. Amaziane, M. Jurak, L. Pankratov & A. Piatnitski. (2021) Homogenization of nonisothermal immiscible incompressible two-phase flow in double porosity media. Nonlinear Analysis: Real World Applications 61, pages 103323.
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Willi Jäger & Jean Louis Woukeng. (2021) Homogenization of Richards' equations in multiscale porous media with soft inclusions. Journal of Differential Equations 281, pages 503-549.
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Michal Beneš. (2020) On Existence, Uniqueness and Two-Scale Convergence of a Model for Coupled Flows in Heterogeneous Media. Acta Applicandae Mathematicae 171:1.
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Michal Beneš & Igor Pažanin. (2019) Homogenization of degenerate coupled transport processes in porous media with memory terms. Mathematical Methods in the Applied Sciences 42:18, pages 6227-6258.
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Michal Beneš. Upscaling for a degenerate and coupled parabolic system arising from fluid and heat transport in heterogeneous media. Upscaling for a degenerate and coupled parabolic system arising from fluid and heat transport in heterogeneous media.
Brahim Amaziane, Leonid Pankratov & Andrey Piatnitski. (2017) An improved homogenization result for immiscible compressible two--phase flow in porous media. Networks and Heterogeneous Media 12:1, pages 147-171.
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Michal Beneš & Igor Pažanin. (2017) Homogenization of degenerate coupled fluid flows and heat transport through porous media. Journal of Mathematical Analysis and Applications 446:1, pages 165-192.
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B. Amaziane & L. Pankratov. (2016) Homogenization of compressible two-phase two-component flow in porous media. Nonlinear Analysis: Real World Applications 30, pages 213-235.
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Brahim Amaziane, Leonid Pankratov & Andrey Piatnitski. (2014) Homogenization of immiscible compressible two-phase flow in highly heterogeneous porous media with discontinuous capillary pressures. Mathematical Models and Methods in Applied Sciences 24:07, pages 1421-1451.
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