Decay properties and asymptotic profiles for elastic waves with Kelvin–Voigt damping in 2D

DOI10.3233/ASY-191548zbMath1467.35048arXiv1811.02223OpenAlexW3102989067MaRDI QIDQ5112899

Wenhui Chen

Publication date: 9 June 2020

Published in: Asymptotic Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.02223

zbMATH Keywords

global existenceasymptotic profileweakly coupled system

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear waves in solid mechanics (74J30) Linear waves in solid mechanics (74J05) Initial value problems for systems of nonlinear higher-order PDEs (35G55) Initial value problems for systems of linear higher-order PDEs (35G40)

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Decay properties for evolution-parabolic coupled systems related to thermoelastic plate equations ⋮ Large time behavior of solutions to elastic wave with structural damping ⋮ Spatial decay estimates for the Forchheimer fluid equations in a semi-infinite cylinder. ⋮ Global existence and blow-up for the classical solutions of the long-short wave equations with viscosity ⋮ Coupled plate equations with indirect damping: smoothing effect, decay properties and approximation ⋮ Dissipative structure and diffusion phenomena for doubly dissipative elastic waves in two space dimensions

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