On the quenching behavior of the MEMS with fringing field
From MaRDI portal
Publication:2788679
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
numerical simulationsingular parabolic equationpull-in voltagequenching solutionmicromechanical system
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
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On a parabolic equation in MEMS with fringing field
- Classes of solutions of linear systems of partial differential equations of parabolic type
- On a general family of nonautonomous elliptic and parabolic equations
- On the partial differential equations of electrostatic MEMS devices. III: Refined touchdown behavior
- On the partial differential equations of electrostatic MEMS devices. II: Dynamic case
- Estimates for the quenching time of a parabolic equation modeling electrostatic MEMS
- The blow-up rate of solutions of semilinear heat equations
- Symmetry and related properties via the maximum principle
- Blow up for \(u_ t- \Delta u=g(u)\) revisited
- Estimates for the quenching time of a MEMS equation with fringing field
- The effect of the small-aspect-ratio approximation on canonical electrostatic MEMS models
- Mathematical Modeling of Electrostatic MEMS with Tailored Dielectric Properties
- A Note on the Quenching Rate
- Nondegeneracy of blowup for semilinear heat equations
- On MEMS equation with fringing field
- On the Partial Differential Equations of Electrostatic MEMS Devices: Stationary Case
- Asymptotically self‐similar blow‐up of semilinear heat equations
- Touchdown and Pull-In Voltage Behavior of a MEMS Device with Varying Dielectric Properties
This page was built for publication: On the quenching behavior of the MEMS with fringing field
