Existence and uniqueness of weak solutions for the model representing motions of curves made of elastic materials
type: Item
instance of: scholarly article
title: Existence and uniqueness of weak solutions for the model representing motions of curves made of elastic materials
zbMATH Open document ID: 1473.35545
DOI: 10.26516/1997-7670.2021.36.44
author: Chiharu Kosugi
author: Toyohiko Aiki
publication date: 2021-09-08T00:00:00Z
full work available at URL: http://mathizv.isu.ru/en/article/file
Mathematics Subject Classification ID: 35Q74
Mathematics Subject Classification ID: 35G31
Mathematics Subject Classification ID: 74B20
zbMATH DE Number: 7392340
zbMATH Keywords: beam equation
zbMATH Keywords: nonlinear strain
zbMATH Keywords: dual equation method
MaRDI profile type: Publication
OpenAlex ID: W3174957623
cites work: Weak solutions for Falk's model of shape memory alloys
cites work: Q5004878
cites work: Hysteresis and phase transitions
cites work: Nonlinear solid mechanics. A continuum approach for engineering
cites work: Q5562267
cites work: Q5890172
cites work: A generalized Stefan problem in several space variables
cites work: Large deformation isotropic elasticity: on the correlation of theory and experiment for compressible rubberlike solids
cites work: Associative coupled thermoplasticity at finite strains: Formulation, numerical analysis and implementation
cites work: Weak solutions for the Falk model system of shape memory alloys in energy class
cites work: An error estimate for structure-preserving finite difference scheme for the Falk model system of shape memory alloys
published in: The Bulletin of Irkutsk State University. Series Mathematics
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description: scientific article; zbMATH DE number 7392340