Some remarks on the homogenization of immiscible incompressible two-phase flow in double porosity media
type: Item
instance of: scholarly article
title: Some remarks on the homogenization of immiscible incompressible two-phase flow in double porosity media
zbMATH Open document ID: 1402.35027
author: Brahim Amaziane
author: Mladen Jurak
author: Anja Vrbaški
author: Leonid Pankratov
published in: Discrete and Continuous Dynamical Systems. Series B
publication date: 2018-09-06T00:00:00Z
review text: One of the main goals of the paper is to reformulate in a systematic fashion (and eventually in a more general context) the homogenization problem for an immiscible incompressible two-phase flow in double-porosity media. By suitably weakening standing assumptions, a special attention is paid to the developing of a general approach to incorporating (in the two-phase flow setting) highly heterogeneous porous media with discontinuous capillary pressures. At the technical level, the approach relies on uniform energy estimates as well as on a combination of two-scale convergence and periodic unfolding-type arguments.
reviewed by: Adrian Muntean
Mathematics Subject Classification ID: 35B27
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 35K65
Mathematics Subject Classification ID: 74Q15
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 76S05
zbMATH DE Number: 6932757
zbMATH Keywords: two-scale convergence
zbMATH Keywords: dilation operator
zbMATH Keywords: discontinuous capillary pressures
zbMATH Keywords: periodic unfolding-type arguments
MaRDI profile type: Publication
full work available at URL: dcdsb.2018037
OpenAlex ID: W4299294553
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DOI: 10.3934/DCDSB.2018037
description: scientific article; zbMATH DE number 6932757