On a Penrose-Fife model with zero interfacial energy leading to a phase-field system of relaxed Stefan type
type: Item
instance of: scholarly article
title: On a Penrose-Fife model with zero interfacial energy leading to a phase-field system of relaxed Stefan type
zbMATH Open document ID: 0852.35030
DOI: 10.1007/BF01759357
author: Pierluigi Colli
author: Jürgen Sprekels
published in: Annali di Matematica Pura ed Applicata. Serie Quarta
publication date: 1996-12-09T00:00:00Z
review text: A variational formulation of a system of phase-field equations (which are regarded as a limiting case of the Penrose-Fife model for diffusive phase transitions) is introduced. One obtains a relaxed Stefan-type problem. Existence (and uniqueness for some special boundary conditions) of a weak solution is proved.
Mathematics Subject Classification ID: 35D05
Mathematics Subject Classification ID: 35R35
Mathematics Subject Classification ID: 80A22
zbMATH DE Number: 878433
zbMATH Keywords: phase-field equations
zbMATH Keywords: Penrose-Fife model
zbMATH Keywords: diffusive phase transitions
reviewed by: N. H. Pavel
MaRDI profile type: Publication
cites work: Q5286402
cites work: Q4094029
cites work: Q3704963
cites work: Q4893667
cites work: Q4883718
cites work: Q4321125
cites work: Solutions to a Penrose-Fife model of phase-field type
cites work: Q4839303
cites work: Q5890172
cites work: Perturbations singulières dans les problèmes aux limites et en contrôle optimal
cites work: Thermodynamically consistent models of phase-field type for the kinetics of phase transitions
cites work: Global smooth solutions to a thermodynamically consistent model of phase- field type in higher space dimensions
cites work: Gobal existence for a thermodynamically consistent model of phase field type
description: scientific article; zbMATH DE number 878433