On the quenching behaviour of a semilinear wave equation modelling MEMS technology

DOI10.3934/dcds.2015.35.1009zbMath1304.35441OpenAlexW1969684117MaRDI QIDQ477392

Nikos I. Kavallaris, Andrew A. Lacey, Dimitrios E. Tzanetis, Christos V. Nikolopoulos

Publication date: 3 December 2014

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2015.35.1009

zbMATH Keywords

finite difference schemehomogeneous Dirichlet boundary conditionselectrostatic MEMSformal asymptoticsimilarity analysis

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Singularities, blow-up, stress concentrations for dynamical problems in solid mechanics (74H35) Membranes (74K15) Second-order semilinear hyperbolic equations (35L71) Qualitative behavior of solutions of equilibrium problems in solid mechanics (74G55) Singular hyperbolic equations (35L81)

Related Items (7)

Vanishing aspect ratio limit for a fourth-order MEMS model ⋮ Asymptotic and quenching behaviors of semilinear parabolic systems with singular nonlinearities ⋮ Global vs blow-up solutions and optimal threshold for hyperbolic ODEs with possibly singular nonlinearities ⋮ Some singular equations modeling MEMS ⋮ A stochastic parabolic model of MEMS driven by fractional Brownian motion ⋮ Quenching for a parabolic equation with variable coefficient modeling MEMS technology ⋮ Free Vibrations in a Wave Equation Modeling MEMS

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