On the partial differential equations of electrostatic MEMS devices with effects of Casimir force

DOI10.1007/s00023-014-0322-8zbMath1306.81292OpenAlexW2046568732MaRDI QIDQ2513267

Baishun Lai

Publication date: 2 February 2015

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00023-014-0322-8

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Electromagnetic effects in solid mechanics (74F15) Electromagnetic interaction; quantum electrodynamics (81V10) Casimir effect in quantum field theory (81T55)

Related Items (7)

Critical pull-in curves of MEMS actuators in presence of Casimir force ⋮ Monge-Ampére simulation of fourth order PDEs in two dimensions with application to elastic-electrostatic contact problems ⋮ On semilinear elliptic equation with negative exponent arising from a closed MEMS model ⋮ Some singular equations modeling MEMS ⋮ Regularized model of post-touchdown configurations in electrostatic MEMS: bistability analysis ⋮ On the semilinear elliptic equations of electrostatic NEMS devices ⋮ Global bifurcation curves of a regularized MEMS model

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Degenerate elliptic equations with singular nonlinearities
• Blow up for \(u_ t- \Delta u=g(u)\) revisited
• Analysis of the Dynamics and Touchdown in a Model of Electrostatic MEMS
• On the Partial Differential Equations of Electrostatic MEMS Devices: Stationary Case
• Sur une classe de problemes non lineaires avec non linearite positive, croissante, convexe.
• Nonlinear non-local elliptic equation modelling electrostatic actuation
• Touchdown and Pull-In Voltage Behavior of a MEMS Device with Varying Dielectric Properties

This page was built for publication: On the partial differential equations of electrostatic MEMS devices with effects of Casimir force