Global existence and exponential stability of solutions to thermoelastic equations of hyperbolic type
type: Item
instance of: scholarly article
title: Global existence and exponential stability of solutions to thermoelastic equations of hyperbolic type
zbMATH Open document ID: 1174.35542
published in: Journal of Elasticity
publication date: 2005-03-15T00:00:00Z
Mathematics Subject Classification ID: 35Q72
Mathematics Subject Classification ID: 35B35
Mathematics Subject Classification ID: 74F05
Mathematics Subject Classification ID: 74H20
zbMATH DE Number: 2145855
zbMATH Keywords: nonlinear hyperbolic thermoelasticity
zbMATH Keywords: global existence
zbMATH Keywords: exponential stability
zbMATH Keywords: strongly positive definite kernel
author: Yuming Qin
author: Jaime E. Muñoz Rivera
MaRDI profile type: Publication
full work available at URL: s10659-005-4332-0
OpenAlex ID: W2104339495
cites work: On the energy decay of a linear thermoelastic bar
cites work: On the existence and the asymptotic stability of solutions to the equations of linear thermoelasticity
cites work: An abstract Volterra equation with applications to linear viscoelasticity
cites work: Asymptotic stability in viscoelasticity
cites work: Global Smooth Solutions to the Initial-Boundary Value Problem for the Equations of One-Dimensional Nonlinear Thermoviscoelasticity
cites work: Development of singularities in the motion of materials with fading memory
cites work: Global smooth thermomechanical processes in one-dimensional nonlinear thermoviscoelasticity
cites work: Development of singularities in solutions of the equations of nonlinear thermoelasticity
cites work: Energy methods for nonlinear hyperbolic volterra integrodifferential equations
cites work: On the existence and the asymptotic stability of solutions for linearly viscoelastic solids
cites work: Energy decay for hyperbolic thermoelastic systems of memory type
cites work: Approximation in Control of Thermoelastic Systems
cites work: A general theory of heat conduction with finite wave speeds
cites work: Exponential energy decay in a linear thermoelastic rod
cites work: On the Energy Decay of a Linear Thermoelastic Bar and Plate
cites work: Q5749675
cites work: Q5628582
cites work: On the exponential stability of linear viscoelasticity and thermoviscoelasticity
cites work: Q3836328
cites work: Global existence and asymptotic behaviour of the solution to the system in one-dimensional nonlinear thermoviscoelasticity
cites work: Global smooth solutions and asymptotic stability in one-dimensional nonlinear thermoelasticity
cites work: Global solvability and exponential stability in one-dimensional nonlinear thermoelasticity
cites work: Q4024409
cites work: Existence and exponential decay in nonlinear thermoelasticity
cites work: Global existence and exponential stability in one-dimensional nonlinear thermoelasticity with thermal memory
cites work: Global existence, uniqueness, and asymptotic stability of classical smooth solutions in one-dimensional nonlinear thermoelasticity
cites work: On a Nonlinear Hyperbolic Volterra Equation
cites work: Q3704303
DOI: 10.1007/S10659-005-4332-0
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description: scientific article; zbMATH DE number 2145855