Global solutions to a model of structural phase transitions in shape memory alloys
type: Item
instance of: scholarly article
title: Global solutions to a model of structural phase transitions in shape memory alloys
zbMATH Open document ID: 0654.35020
DOI: 10.1016/0022-247X(88)90385-X
author: Marek Niezgódka
author: Songmu Zheng
author: Jürgen Sprekels
published in: Journal of Mathematical Analysis and Applications
publication date: 1988-01-01T00:00:00Z
review text: The authors study a nonlinear boundary-value problem modelling the dynamical structural phase transitions (martensitic transformations) in shape memory alloys. One proves some a priori estimates which, combined with the local existence and uniqueness of the weak solution, gives relevant global results. This paper is on the line of the previous works of the authors. Some interesting comments on the phenomenology are also attached.
Mathematics Subject Classification ID: 35G30
Mathematics Subject Classification ID: 35B45
Mathematics Subject Classification ID: 35R35
Mathematics Subject Classification ID: 35G10
Mathematics Subject Classification ID: 35K25
Mathematics Subject Classification ID: 82B26
zbMATH DE Number: 4067423
zbMATH Keywords: nonlinear boundary-value problem
zbMATH Keywords: dynamical structural phase transitions
zbMATH Keywords: martensitic transformations
zbMATH Keywords: shape memory alloys
zbMATH Keywords: a priori estimates
zbMATH Keywords: local existence
zbMATH Keywords: uniqueness
zbMATH Keywords: weak solution
zbMATH Keywords: global results
reviewed by: Silviu Sburlan
MaRDI profile type: Publication
cites work: Uniqueness for structural phase transitions in shape memory alloys
cites work: A model for a body with shape-memory
description: scientific article; zbMATH DE number 4067423