Global solutions to the equation of thermoelasticity with fading memory

DOI10.1016/j.jde.2017.02.037zbMath1367.35009OpenAlexW2027222754MaRDI QIDQ525970

Mari Okada, Shuichi Kawashima

Publication date: 8 May 2017

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2017.02.037

zbMATH Keywords

asymptotic stabilityenergy methodssecond sound phenomenonstrong positive definite kernels

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Thermal effects in solid mechanics (74F05) Hyperbolic conservation laws (35L65) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

Related Items (4)

Dissipative structure for symmetric hyperbolic systems with memory ⋮ Decay property for symmetric hyperbolic system with memory-type diffusion ⋮ Uniform polynomial stability of second order integro-differential equations in Hilbert spaces with positive definite kernels ⋮ Dissipative structure and asymptotic profiles for symmetric hyperbolic systems with memory

Cites Work

• Unnamed Item
• Unnamed Item
• Global solutions to quasi-linear hyperbolic systems of viscoelasticity
• The Cauchy problem in one-dimensional nonlinear viscoelasticity
• Decay property for second order hyperbolic systems of viscoelastic materials
• Smooth global solutions for the one-dimensional equations in magnetohydrodynamics
• On the existence and the asymptotic stability of solutions for linearly viscoelastic solids
• Global solutions to the equation of viscoelasticity with fading memory
• Asymptotic behavior of the energy for a class of weakly dissipative second-order systems with memory
• Decay Estimates of Solutions for Quasi-Linear Hyperbolic Systems of Viscoelasticity
• Weak solutions for a nonlinear system in viscoelasticity
• Large-time behaviour of solutions to hyperbolic–parabolic systems of conservation laws and applications
• Energy methods for nonlinear hyperbolic volterra integrodifferential equations
• On a Nonlinear Hyperbolic Volterra Equation
• Positive Definite Measures with Applications to a Volterra Equation
• An integro-differential equation with application in heat flow
• A model for one-dimensional, nonlinear viscoelasticity
• An Existence Result on a Volterra Equation in a Banach Space
• Global attractors for a semilinear hyperbolic equation in viscoelasticity

This page was built for publication: Global solutions to the equation of thermoelasticity with fading memory