Freezing of a porous medium with water supply coupled Stefan problem
type: Item
instance of: scholarly article
title: Freezing of a porous medium with water supply coupled Stefan problem
zbMATH Open document ID: 0585.35084
DOI: 10.1016/0022-247X(85)90032-0
published in: Journal of Mathematical Analysis and Applications
publication date: 1985-01-01T00:00:00Z
review text: The aim of the paper is to build a model of a wet porous medium (e.g. a water saturated soil) which is freezing. Both thermal and hydraulic aspects are taken into account. The domain \(\Omega\) is divided into three time-dependent parts: The unfrozen part \(\Omega_ 1(t)\), the frozen part \(\Omega_ 2(t)\) and a zone \(\Omega_ 3(t)\) with the phase change temperature. They are separated by free surfaces. Physical equations and variational formulation of the problem are derived. It is shown that some slightly different sets than \(\Omega_ i(t)\) are more convenient to describe the problem and that the notion of free surface is not suitable. Existence theorems and a maximum principle are proven.
Mathematics Subject Classification ID: 35R35
Mathematics Subject Classification ID: 35B50
Mathematics Subject Classification ID: 35A05
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 80A20
zbMATH DE Number: 3937699
zbMATH Keywords: Stefan problem
zbMATH Keywords: wet porous medium
zbMATH Keywords: phase change
zbMATH Keywords: free surfaces
zbMATH Keywords: variational formulation
zbMATH Keywords: Existence theorems
zbMATH Keywords: maximum principle
author: Michel Frémond
author: Hamid Ghidouche
author: Nelly Point
reviewed by: Marek Fila
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3937699