Asymptotic stability for the Lamé system with fractional boundary damping

DOI10.1016/J.CAMWA.2018.11.011zbMath1442.35249OpenAlexW2900499715MaRDI QIDQ2203821

Soumia Gaouar, Abbes Benaissa

Publication date: 2 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2018.11.011

zbMATH Keywords

semigroup theoryLamé systempolynomial stabilityfractional damping

Mathematics Subject Classification ID

Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) PDEs in connection with mechanics of deformable solids (35Q74) Initial-boundary value problems for second-order hyperbolic systems (35L53)

Related Items (7)

Asymptotic behavior of non-autonomous Lamé systems with subcritical and critical mixed nonlinearities ⋮ Spectral enclosures for the damped elastic wave equation ⋮ Stability result of the Lamé system with a delay term in the internal fractional feedback ⋮ Pullback dynamics of Lamé systems with time-dependent weak damping ⋮ Longtime dynamics of a semilinear Lamé system ⋮ Global attractors and synchronization of coupled critical Lamé systems with nonlinear damping ⋮ Unnamed Item

Cites Work

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• Asymptotic stability of linear differential equations in Banach spaces
• Tauberian Theorems and Stability of One-Parameter Semigroups
• The Euler–Bernoulli beam equation with boundary dissipation of fractional derivative type
• Wave energy decay under fractional derivative controls

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