Regularity and stability of coupled plate equations with indirect structural or Kelvin-Voigt damping

DOI10.1051/cocv/2018060zbMath1437.35655OpenAlexW2900129378WikidataQ128970204 ScholiaQ128970204MaRDI QIDQ5107956

Zhuangyi Liu, Zhong-Jie Han

Publication date: 29 April 2020

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/cocv/2018060

zbMATH Keywords

exponential stabilitysemigroupspectrumanalyticitystructural dampingKelvin-Voigt damping

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Stability in context of PDEs (35B35) Plates (74K20) Linear constitutive equations for materials with memory (74D05) Spectral and related methods applied to problems in solid mechanics (74S25) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (9)

Energy decay of some boundary coupled systems involving wave Euler-Bernoulli beam with one locally singular fractional Kelvin-Voigt damping ⋮ Stabilization for weakly coupled string–riser system with partial frictional damping ⋮ Regularity of the semigroups associated with some damped coupled elastic systems II: A nondegenerate fractional damping case ⋮ Longtime behavior of the weakly coupled Euler-Bernoulli plate system with structural damping ⋮ Stability of a suspension bridge with structural damping ⋮ Regularity and stability for a plate model involving fractional rotational forces and damping ⋮ Coupled plate equations with indirect damping: smoothing effect, decay properties and approximation ⋮ Stabilization of the weakly coupled plate equations with a locally distributed damping ⋮ Uniqueness of solution to systems of elliptic operators and application to asymptotic synchronization of linear dissipative systems. II: case of multiple feedback dampings

Uses Software

• Matlab

Cites Work

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