Global solution of the initial boundary value problem to a hyperbolic nonlocal MEMS equation

DOI10.1016/j.camwa.2013.11.012zbMath1381.35104OpenAlexW2043497207MaRDI QIDQ316520

Chuangchuang Liang, Kai-Jun Zhang

Publication date: 27 September 2016

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2013.11.012

zbMATH Keywords

wave equationglobal existencenonlocalmicro-electro-mechanical system

Mathematics Subject Classification ID

Control, switches and devices (``smart materials) in solid mechanics (74M05) Initial-boundary value problems for second-order hyperbolic equations (35L20) PDEs in connection with optics and electromagnetic theory (35Q60) Electromagnetic effects in solid mechanics (74F15) Waves and radiation in optics and electromagnetic theory (78A40) Existence of solutions of dynamical problems in solid mechanics (74H20) PDEs in connection with mechanics of deformable solids (35Q74) Second-order semilinear hyperbolic equations (35L71)

Related Items (4)

Convergence of solutions of a nonlocal biharmonic MEMS equation with the fringing field ⋮ Vanishing aspect ratio limit for a fourth-order MEMS model ⋮ Some singular equations modeling MEMS ⋮ On the quenching behaviour of a semilinear wave equation modelling MEMS technology

Cites Work

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• On a nonlocal parabolic problem arising in electrostatic MEMS control
• A hyperbolic non-local problem modelling MEMS technology
• The existence and dynamic properties of a parabolic nonlocal MEMS equation
• Semigroups of linear operators and applications to partial differential equations
• On a hyperbolic equation arising in electrostatic MEMS
• Quenching behaviour of a nonlocal parabolic MEMS equation
• The Quenching of Solutions of Semilinear Hyperbolic Equations
• On a Hyperbolic Quenching Problem in Several Dimensions
• A nonlocal quenching problem arising in a micro-electro mechanical system
• Nonlinear non-local elliptic equation modelling electrostatic actuation

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