Stationary solutions to a strain-gradient type thermoviscoelastic system
type: Item
instance of: scholarly article
title: Stationary solutions to a strain-gradient type thermoviscoelastic system
zbMATH Open document ID: 1265.74012
published in: Differential and Integral Equations
publication date: 2012-10-08T00:00:00Z
review text: The authors are interested in the dynamical stability of the stationary states of a thermoviscoelastic system. The considered system arises in the modeling of structural phase transitions in viscoelastic solids. The stationary state is formulated as a nonlinear eigenvalue problem. The semi-dualities of the thermoviscoelasic system are introduced and used for the construction of general results concerning the stability of stationary states. The set of the stationary solutions is also investigated using bifurcation theory.
reviewed by: Petr Sváček
Mathematics Subject Classification ID: 74B20
Mathematics Subject Classification ID: 74N30
zbMATH DE Number: 6092246
zbMATH Keywords: thermoviscoelastic system
zbMATH Keywords: stationary solution
zbMATH Keywords: stability
zbMATH Keywords: bifurcation
MaRDI profile type: Publication
author: I. Pawłow
author: Takashi Suzuki
author: S. Tasaki
description: scientific article; zbMATH DE number 6092246