Mindlin-Timoshenko systems with Kelvin-Voigt: analyticity and optimal decay rates

DOI10.1016/j.jmaa.2014.02.066zbMath1332.35208OpenAlexW2035183444MaRDI QIDQ489001

T. F. Ma, Marcio Antonio Jorge da Silva, Jaime Edilberto Muñoz Rivera

Publication date: 27 January 2015

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.2014.02.066

zbMATH Keywords

exponential stabilityviscoelastic dampingpolynomial stability

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Plates (74K20) Second-order semilinear hyperbolic equations (35L71) Initial-boundary value problems for second-order hyperbolic systems (35L53)

Related Items (9)

Equivalence between observability at the boundary and exponential stabilization for an ACL beam actuated by a voltage source without magnetic effects ⋮ Polynomial stabilization for thermoelastic Reissner–Mindlin–Timoshenko plates with structural damping ⋮ Decay of solution for a 2D irrotational Mindlin-Timoshenko plate system ⋮ Decay estimate and global existence of a semilinear Mindlin-Timoshenko plate system with full frictional damping in the whole space ⋮ On a model for the magnetoelastic vibrations of a perfectly conducting Mindlin–Timoshenko plate ⋮ Polynomial stability of a magneto-thermoelastic Mindlin-Timoshenko plate model ⋮ Transmission problems for Mindlin-Timoshenko plates: frictional versus viscous damping mechanisms ⋮ Regularity and stability for a plate model involving fractional rotational forces and damping ⋮ An analytic semigroup for the magnetoelastic Mindlin–Timoshenko plate model

Cites Work

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• Solvability of a Reissner-Mindlin-Timoshenko plate-beam vibration model
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• On the Spectrum of C 0 -Semigroups
• Spectral Theory for Contraction Semigroups on Hilbert Space
• Asymptotic Behavior of a Mindlin-Timoshenko Plate with Viscoelastic Dissipation on the Boundary

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