Hysteresis in porous media: modelling and analysis
type: Item
instance of: scholarly article
title: Hysteresis in porous media: modelling and analysis
zbMATH Open document ID: 1377.76034
DOI: 10.4171/IFB/388
author: Ben Schweizer
published in: Interfaces and Free Boundaries
publication date: 2018-01-04T00:00:00Z
review text: Summary: Unsaturated flow through porous media can be modelled by a partial differential equation using saturation \(s\) and pressure \(p\) as unknowns. Experimental data as well as elementary physical arguments show that the coupling of the two variables must take into account hysteresis. In this survey, we describe the physical origins of porous media hysteresis, present the ideas of its mathematical description, and review the analysis of the resulting hysteresis models.
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 47J40
Mathematics Subject Classification ID: 35K55
zbMATH DE Number: 6821919
zbMATH Keywords: porous media
zbMATH Keywords: hysteresis
zbMATH Keywords: unsaturated flow
zbMATH Keywords: gravity fingering
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.4171/ifb/388
OpenAlex ID: W2763843252
description: scientific article; zbMATH DE number 6821919