A generalized phase relaxation model with hysteresis
type: Item
instance of: scholarly article
title: A generalized phase relaxation model with hysteresis
zbMATH Open document ID: 1028.35005
DOI: 10.1016/S0362-546X(03)00243-8
author: Fabio Luterotti
author: Giulio Schimperna
author: Ulisse Stefanelli
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2003-11-16T00:00:00Z
review text: The authors introduce a general model describing phase transition phenomena where certain hysteresis effects are considered. The existence of a local in time solution is obtained. Under more restrictive assumptions, a result ensuring the existence of a global solution is also given.
Mathematics Subject Classification ID: 35A07
Mathematics Subject Classification ID: 35K65
Mathematics Subject Classification ID: 35B50
zbMATH DE Number: 2003960
zbMATH Keywords: phase transition
zbMATH Keywords: hysteresis operator
zbMATH Keywords: local in time solution
zbMATH Keywords: maximum principle
reviewed by: Dumitru Motreanu
MaRDI profile type: Publication
cites work: Q4514446
cites work: Q4546023
cites work: Q5665783
cites work: Hysteresis and phase transitions
cites work: Global existence of a solution to a phase field model for supercooling
cites work: Global existence for a class of generalized systems for irreversible phase changes
cites work: Q2759325
cites work: Q3704963
cites work: Q5668046
cites work: A hysteresis approach to phase-field models
cites work: Phase‐field systems for multi‐dimensional Prandtl–Ishlinskii operators with non‐polyhedral characteristics
cites work: Q4814040
cites work: Q5548525
cites work: EXISTENCE RESULT FOR A NONLINEAR MODEL RELATED TO IRREVERSIBLE PHASE CHANGES
cites work: Thermodynamically consistent models of phase-field type for the kinetics of phase transitions
cites work: Compact sets in the space \(L^ p(0,T;B)\)
cites work: Stefan Problem with Phase Relaxation
cites work: Differential models of hysteresis
description: scientific article; zbMATH DE number 2003960