On the partial differential equations of electrostatic MEMS devices. III: Refined touchdown behavior

DOI10.1016/j.jde.2008.02.005zbMath1146.35049OpenAlexW1986032395MaRDI QIDQ926864

Yujin Guo

Publication date: 21 May 2008

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2008.02.005

zbMATH Keywords

self-similarMEMSpull-in voltagequenching profiles

Mathematics Subject Classification ID

Related Items (34)

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Cites Work

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• On the partial differential equations of electrostatic MEMS devices. II: Dynamic case
• Estimates for the quenching time of a parabolic equation modeling electrostatic MEMS
• Symmetry and related properties via the maximum principle
• On the quenching behavior of the solution of a semilinear parabolic equation
• Mathematical Modeling of Electrostatic MEMS with Tailored Dielectric Properties
• A Note on the Quenching Rate
• Analysis of the Dynamics and Touchdown in a Model of Electrostatic MEMS
• Nondegeneracy of blowup for semilinear heat equations
• On the Partial Differential Equations of Electrostatic MEMS Devices: Stationary Case
• Asymptotically self‐similar blow‐up of semilinear heat equations
• Refined asymptotics for the blowup of u_t — δu = u^p
• Compactness along the branch of semistable and unstable solutions for an elliptic problem with a singular nonlinearity
• Touchdown and Pull-In Voltage Behavior of a MEMS Device with Varying Dielectric Properties

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