Asymptotic behaviour of weak solutions to a boundary value problem for dynamic viscoelastic equations with memory

DOI10.1017/S0308210500030808zbMath0829.35070OpenAlexW2093675373MaRDI QIDQ4698381

Jin Liang, Tiehu Qin

Publication date: 15 January 1996

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500030808

zbMATH Keywords

one-dimensional viscoelastic equations with memory

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Dynamical problems in solid mechanics (74Hxx)

Cites Work

• Weak solutions of a class of quasilinear hyperbolic integro-differential equations describing viscoelastic materials
• A nonlinear functional differential equation in Banach space with applications to materials with fading memory
• On a class of quasilinear partial integrodifferential equations with singular kernels
• Fine phase mixtures as minimizers of energy
• Phase transitions in one-dimensional nonlinear viscoelasticity: Admissibility and stability
• Asymptotic behaviour and changes of phase in one-dimensional nonlinear viscoelasticity
• Equilibrium of bars
• On energies for nonlinear viscoelastic materials of single-integral type
• A model for one-dimensional, nonlinear viscoelasticity

This page was built for publication: Asymptotic behaviour of weak solutions to a boundary value problem for dynamic viscoelastic equations with memory