Well-posedness results for models of elastomers
type: Item
instance of: scholarly article
title: Well-posedness results for models of elastomers
zbMATH Open document ID: 1027.35138
published in: Journal of Mathematical Analysis and Applications
publication date: 2002-07-04T00:00:00Z
review text: This paper deals with the theoretical foundations of a series of models for the dynamic behaviour of elastomers. The authors consider well-posedness of the basic model with three different constitutive laws. First they show that the nonlinear problem with no hysteresis is well posed. Moreover, the results demonstrate that well-posedness can be achieved under relaxed assumptions and can be extended to the problem with nonlinear internal dynamics.
Mathematics Subject Classification ID: 35Q72
Mathematics Subject Classification ID: 74D10
Mathematics Subject Classification ID: 35B30
Mathematics Subject Classification ID: 74H20
Mathematics Subject Classification ID: 74H25
zbMATH DE Number: 1763468
zbMATH Keywords: dynamic behaviour of elastomers
zbMATH Keywords: constitutive laws
zbMATH Keywords: well-posedness
author: Azmy S. Ackleh
author: H. Thomas Banks
author: Gabriella A. Pintér
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
OpenAlex ID: W1983115591
cites work: A nonlinear beam equation
cites work: Global solvability for damped abstract nonlinear hyperbolic systems
cites work: Well posedness for damped second order systems with unbounded input operators
cites work: Q4364321
cites work: Existence of unique weak solutions to a dynamical system for nonlinear elastomers with hysteresis
cites work: Q4933731
cites work: Optimal Control Problems for Nonlinear Hyperbolic Distributed Parameter Systems with Damping Terms
DOI: 10.1006/JMAA.2000.7281
description: scientific article; zbMATH DE number 1763468