Analysis of a viscoelastic spring-mass model

DOI10.1016/j.jmaa.2004.03.008zbMath1063.35121OpenAlexW2132656678MaRDI QIDQ596799

Joan Solà-Morales, Marta Pellicer

Publication date: 10 August 2004

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.2004.03.008

zbMATH Keywords

Asymptotic behaviorDominant eigenvaluesDynamical boundary conditionsStrongly damped wave equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Higher-order nonlinear hyperbolic equations (35L75)

Related Items (11)

Asymptotic behavior for a weak viscoelastic wave equations with a dynamic boundary and time varying delay term ⋮ Existence and exponential stability of a damped wave equation with dynamic boundary conditions and a delay term ⋮ Analysis of lumped models with contact and friction ⋮ Existence and asymptotic behavior of the wave equation with dynamic boundary conditions ⋮ Asymptotic stability and blow up for a semilinear damped wave equation with dynamic boundary conditions ⋮ Large time dynamics of a nonlinear spring-mass-damper model ⋮ Boundary-to-Displacement asymptotic gains for wave systems with Kelvin–Voigt damping ⋮ Optimal decay rates and the selfadjoint property in overdamped systems ⋮ Optimal scalar products in the Moore-Gibson-Thompson equation ⋮ Wellposedness and decay rates for the Cauchy problem of the Moore-Gibson-Thompson equation arising in high intensity ultrasound ⋮ Stabilisation of nonlinear ODE and wave PDE cascaded systems with damping terms

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• Exponential Decay of Energy of the Euler--Bernoulli Beam with Locally Distributed Kelvin--Voigt Damping
• Mathematics of Wave Propagation
• On fractional powers of a closed pair of operators and a damped wave equation with dynamic boundary conditions
• Interpolation zwischen den Klassen 𝔖_p von Operatoren in Hilberträumen

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