Homogenization of a model for water-gas flow through double-porosity media
type: Item
instance of: scholarly article
title: Homogenization of a model for water-gas flow through double-porosity media
zbMATH Open document ID: 1336.35043
published in: Mathematical Methods in the Applied Sciences
publication date: 2016-02-23T00:00:00Z
Mathematics Subject Classification ID: 35B27
Mathematics Subject Classification ID: 35K65
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 76T10
zbMATH DE Number: 6544707
zbMATH Keywords: compressible two-phase flow
zbMATH Keywords: Dacry-Muskat problem
zbMATH Keywords: double porous media
zbMATH Keywords: fractured media
zbMATH Keywords: water-hydrogen
author: Brahim Amaziane
author: Leonid Pankratov
MaRDI profile type: Publication
full work available at URL: mma.3493
OpenAlex ID: W2138463205
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DOI: 10.1002/MMA.3493
review text: The authors study the homogenisation limit for a system of PDEs describing the motion of two immiscible compressible two-phase flows (like water and gas) through a double porosity medium. The microscopic problem includes two mass conservation equations for the two flows as well as a Darcy-Muskat law relating the velocities, pressure gradients and gravitational effects. The major difficulty is twofold: the nonlinear degenerate structure of the equations and the coupling of the system.
reviewed by: Adrian Muntean
description: scientific article; zbMATH DE number 6544707