Refinements to the study of electrostatic deflections: theory and experiment

DOI10.1017/S0956792512000435zbMath1267.35224MaRDI QIDQ4928758

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Publication date: 18 June 2013

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

zbMATH Keywords

nonlinear elliptic PDEpull-in voltageprescribed mean curvatureelectrostatic actuationnonlinear eigenvalue

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Thin fluid films (76A20) Magnetohydrodynamics and electrohydrodynamics (76W05)

Related Items (5)

On the classification and evolution of bifurcation curves for a quasilinear regularized MEMS model ⋮ Upper and lower bounds for the pull-in voltage and the pull-in distance for a generalized MEMS problem ⋮ Some singular equations modeling MEMS ⋮ Qualitative analysis of a curvature equation modelling MEMS with vertical loads ⋮ On the existence of positive solutions for some nonlinear boundary value problems and applications to MEMS models

Cites Work

• Analysis of a one-dimensional prescribed mean curvature equation with singular nonlinearity
• Existence and regularity of extremal solutions for a mean-curvature equation
• Symmetry and related properties via the maximum principle
• The effect of the small-aspect-ratio approximation on canonical electrostatic MEMS models
• One-dimensional prescribed mean curvature equation with exponential nonlinearity
• Non-linear effects on canonical MEMS models
• Asymptotics of some nonlinear eigenvalue problems modelling a MEMS Capacitor. Part II: multiple solutions and singular asymptotics
• Criticality in reactors under domain or external temperature perturbations
• Touchdown and Pull-In Voltage Behavior of a MEMS Device with Varying Dielectric Properties
• On a nonlinear differential equation of electrohydrodynamics
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