Nonlinear waves for viscoelasticity with fading memory

DOI10.1016/0022-0396(88)90062-9zbMath0662.35004OpenAlexW2097841688MaRDI QIDQ1113353

Tai-Ping Liu

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0022-0396(88)90062-9

zbMATH Keywords

equilibriumviscoelastic materialsstresstraveling wavesNonlinear wavesexpansion wavesdiffusion wavesinstantaneous elastic response

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Shocks and singularities for hyperbolic equations (35L67) Nonlinear elasticity (74B20) Vibrations in dynamical problems in solid mechanics (74H45) Second-order nonlinear hyperbolic equations (35L70) Partial functional-differential equations (35R10)

Related Items

History-dependent scalar conservation laws, Kink-type solitary waves within the quasi-linear viscoelastic model, Three-dimensional travelling waves for nonlinear viscoelastic materials with memory, L²estimates for the perturbed phase transitions in unbounded one-dimensional nonlinear viscoelasticity, Convergence to diffusion waves of solutions to nonlinear viscoelastic model with fading memory, Nonlinear Stability of Rarefaction Waves for a Viscoelastic Material with Memory

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