On the quenching behavior of the MEMS with fringing field

DOI10.1090/qam/1396zbMath1336.35192arXiv1402.0066OpenAlexW2964052907MaRDI QIDQ2788679

Xue Luo, Stephen Shing-Toung Yau

Publication date: 22 February 2016

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.0066

zbMATH Keywords

numerical simulationsingular parabolic equationpull-in voltagequenching solutionmicromechanical system

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) PDEs in connection with optics and electromagnetic theory (35Q60) Nonlinear elliptic equations (35J60)

Related Items (4)

The structure of stationary solutions to a micro-electro mechanical system with fringing field ⋮ Some singular equations modeling MEMS ⋮ Dynamical solutions of singular parabolic equations modeling electrostatic MEMS ⋮ Fringing field can prevent infinite time quenching

Uses Software

• Matlab
• bvp4c

Cites Work

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• On the Partial Differential Equations of Electrostatic MEMS Devices: Stationary Case
• Asymptotically self‐similar blow‐up of semilinear heat equations
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