The Gevrey class of the Euler-Bernoulli beam model

DOI10.1016/J.JMAA.2021.125619zbMath1476.35137OpenAlexW3195657178MaRDI QIDQ2235923

Bruna T. S. Sozzo, Jaime Edilberto Muñoz Rivera

Publication date: 22 October 2021

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.2021.125619

zbMATH Keywords

differentiabilitylinear stabilityexponential stabilitylocalized dissipation

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Smoothness and regularity of solutions to PDEs (35B65) Stability in context of PDEs (35B35) One-parameter semigroups and linear evolution equations (47D06) Initial-boundary value problems for higher-order hyperbolic equations (35L35)

Related Items (1)

Gevrey regularity of the semigroup corresponding to an Euler-Bernoulli plate equation with localized structural damping

Cites Work

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• Gevrey's and trace regularity of a semigroup associated with beam equation and non-monotone boundary conditions
• Exponential decay rates for the solutions of Euler-Bernoulli equations with boundary dissipation occuring in the moments only
• Mechanical Behavior of Materials
• Spectrum and Stability for Elastic Systems with Global or Local Kelvin--Voigt Damping
• Exponential Decay of Energy of the Euler--Bernoulli Beam with Locally Distributed Kelvin--Voigt Damping

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