Dynamics of a Damped Wave Equation Arising from MEMS

DOI10.1137/130914759zbMath1307.35024OpenAlexW2016337064MaRDI QIDQ2930930

Gilberto Flores

Publication date: 21 November 2014

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/130914759

zbMATH Keywords

energy estimatesquenchingmicroelectromechanical systemtouchdown regime

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Micromechanics of solids (74M25) Membranes (74K15) Second-order semilinear hyperbolic equations (35L71)

Related Items (10)

Vanishing aspect ratio limit for a fourth-order MEMS model ⋮ Response Solutions for Quasi-Periodically Forced, Dissipative Wave Equations ⋮ Heterogeneous Dielectric Properties in Models for Microelectromechanical Systems ⋮ Some singular equations modeling MEMS ⋮ A stochastic parabolic model of MEMS driven by fractional Brownian motion ⋮ On the quenching behaviour of a semilinear wave equation modelling MEMS technology ⋮ On the dynamic pull-in instability in a mass-spring model of electrostatically actuated MEMS devices ⋮ A numerical study of the pull-in instability in some free boundary models for MEMS ⋮ Regularized model of post-touchdown configurations in electrostatic MEMS: Equilibrium analysis ⋮ Free Vibrations in a Wave Equation Modeling MEMS

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