Q1074031
type: Item
instance of: scholarly article
title: Étude théorique et numérique de deux problèmes couples Stefan- transport; application au stockage thermique. (Theoretical and numerical study of two coupled transport Stefan problems; application to thermal storage)
zbMATH Open document ID: 0589.35092
DOI: 10.1007/BF02576462
author: B. George
published in: Calcolo
publication date: 1984-01-01T00:00:00Z
review text: The authors treat the problem of thermal energy storage by solid-liquid phase change. The local problem is the evolution of the temperature and free boundary of the energy storing material within some cylindrical container, the global problem is the overall evolution of temperature in a structure of regularly spaced containers surrounded by a moving (heating resp. cooling) fluid. The authors describe it mathematically by variational inequalities, give existence, uniqueness and regularity results, and perform computations using finite differences. The proofs are only sketched; the paper is a short version which combines the two thèses de 3e cycle of the authors.
Mathematics Subject Classification ID: 35R35
Mathematics Subject Classification ID: 35K05
Mathematics Subject Classification ID: 49J40
Mathematics Subject Classification ID: 65N06
Mathematics Subject Classification ID: 80A20
zbMATH DE Number: 3946788
zbMATH Keywords: evolution of the temperature
zbMATH Keywords: free boundary
zbMATH Keywords: variational inequalities
zbMATH Keywords: regularity results
zbMATH Keywords: finite differences
reviewed by: Martin Brokate
MaRDI profile type: Publication
cites work: Q5683145
cites work: Q5673816
cites work: Perturbations singulières dans les problèmes aux limites et en contrôle optimal
full work available at URL: https://doi.org/10.1007/bf02576462
OpenAlex ID: W2047557485
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label: Étude théorique et numérique de deux problèmes couples Stefan- transport; application au stockage thermique. (Theoretical and numerical study of two coupled transport Stefan problems; application to thermal storage)
description: scientific article; zbMATH DE number 3946788