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Applicable Analysis
An International Journal
Volume 88, 2009 - Issue 10-11: Mathematical Modelling and Numerical Simulation of Flow and Transport in Porous Media
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Original Articles

On the homogenization of some double-porosity models with periodic thin structures

B. Amaziane Laboratoire de Mathématiques et leur Applications, CNRS-UMR5142, Université de Pau, Av. de l'Université, 64000 Pau, France
,
L. Pankratov Laboratoire de Mathématiques et leur Applications, CNRS-UMR5142, Université de Pau, Av. de l'Université, 64000 Pau, France; Department of Mathematics, B.Verkin Institute for Low Temperature Physics and Engineering, 47, av. Lenin, 61103, Kharkov, UkraineCorrespondence[email protected]
&
V. Rybalko Department of Mathematics, B.Verkin Institute for Low Temperature Physics and Engineering, 47, av. Lenin, 61103, Kharkov, Ukraine
Pages 1469-1492 | Received 02 Mar 2009, Accepted 04 Jun 2009, Published online: 17 Nov 2009

Citations (8)

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Read on this site (2)

Anton Voloshin, Leonid Pankratov & Andrey Konyukhov. (2019) Homogenization of Kondaurov’s non-equilibrium two-phase flow in double porosity media. Applicable Analysis 98:8, pages 1429-1450.
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Mladen Jurak, Leonid Pankratov & Anja Vrbaški. (2016) A fully homogenized model for incompressible two-phase flow in double porosity media. Applicable Analysis 95:10, pages 2280-2299.
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Articles from other publishers (6)

M Jurak, L Pankratov & A Vrbaški. (2024) Discretization schemes for the two simplified global double porosity models of immiscible incompressible two-phase flow. Journal of Physics: Conference Series 2701:1, pages 012077.
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M. Jurak, L. Pankratov & A. Vrbaški. (2023) Some remarks on simplified double porosity model of immiscible incompressible two-phase flow. Asymptotic Analysis 135:3-4, pages 581-594.
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Andrey Konyukhov, Leonid Pankratov & Anton Voloshin. (2019) The homogenized Kondaurov type non-equilibrium model of two-phase flow in multiscale non-homogeneous media. Physica Scripta 94:5, pages 054002.
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Andrea Braides, Valeria Chiadò Piat & Margherita Solci. (2016) Discrete double-porosity models for spin systems. Mathematics and Mechanics of Complex Systems 4:1, pages 79-102.
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Brahim Amaziane & Leonid Pankratov. (2016) Homogenization of a model for water-gas flow through double-porosity media. Mathematical Methods in the Applied Sciences 39:3, pages 425-451.
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Mojdeh Rasoulzadeh, Mikhail Panfilov & Fikri Kuchuk. (2014) Effect of memory accumulation in three-scale fractured-porous media. International Journal of Heat and Mass Transfer 76, pages 171-183.
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