Optimal decay for coupled waves with Kelvin-Voigt damping

DOI10.1016/J.AML.2016.11.010zbMath1365.35089OpenAlexW2557873209MaRDI QIDQ511518

Higidio Portillo Oquendo, Patricia Sánez Pacheco

Publication date: 21 February 2017

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2016.11.010

zbMATH Keywords

frictional dampingKelvin-Voigt dampingoptimal decaycoupled waves

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Abstract hyperbolic equations (35L90) Second-order hyperbolic systems (35L51)

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Cites Work

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• A note on the polynomial stability of a weakly damped elastic abstract system
• Indirect internal stabilization of weakly coupled evolution equations
• Optimal polynomial decay of functions and operator semigroups
• Optimal polynomial decay to coupled wave equations and its numerical properties
• Stability of coupled second order equations
• Stabilization of two coupled wave equations on a compact manifold with boundary
• Frictional versus Kelvin-Voigt damping in a transmission problem
• The asymptotic behavior of the linear transmission problem in viscoelasticity
• The Lack of Exponential Stability in Certain Transmission Problems with Localized Kelvin--Voigt Dissipation

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