Existence of periodic weak solutions to the three-dimensional nonlinear viscoelastic system

DOI10.1016/J.JMAA.2011.02.085zbMath1221.35250OpenAlexW2082409710MaRDI QIDQ534732

Ai-Hua Chen

Publication date: 10 May 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.02.085

zbMATH Keywords

single-integral lawviscoelastic liquid modelviscoelastic solid model

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Nonlinear constitutive equations for materials with memory (74D10) Integro-partial differential equations (35R09) Second-order quasilinear hyperbolic equations (35L72)

Cites Work

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• Weak solutions of a class of quasilinear hyperbolic integro-differential equations describing viscoelastic materials
• Forced vibrations in one-dimensional nonlinear viscoelasticity
• Existence of Global Weak Solutions to the Dynamical Problem for a Three-Dimensional Elastic Body with Singular Memory
• A model for one-dimensional, nonlinear viscoelasticity
• Existence of periodic weak solutions to viscoelastic dynamic equation with memory
• Time-periodic solutions to a system of nonlinear integrodifferential equations
• On the thermodynamics of viscoelastic materials of single-integral type

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