On a parabolic equation in MEMS with fringing field

DOI10.1007/s00013-012-0363-5zbMath1243.35080OpenAlexW2089971908MaRDI QIDQ420963

Zhe Liu, Xiao-Liu Wang

Publication date: 23 May 2012

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-012-0363-5

zbMATH Keywords

quenchingone space dimensionMEMSquenchquenching ratefinitely many quenching pointsfringing fieldmicro-electromechanical systems

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order parabolic equations (35K20) Critical exponents in context of PDEs (35B33) Semilinear parabolic equations (35K58)

Related Items (9)

Convergence of solutions of a nonlocal biharmonic MEMS equation with the fringing field ⋮ 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 ⋮ Estimates for the quenching time of a MEMS equation with fringing field ⋮ A new model for electrostatic MEMS with two free boundaries ⋮ On the quenching behavior of the MEMS with fringing field ⋮ A numerical study of the pull-in instability in some free boundary models for MEMS ⋮ Fringing field can prevent infinite time quenching

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Convergence, asymptotic periodicity, and finite-point blow-up in one- dimensional semilinear heat equations
• On a general family of nonautonomous elliptic and parabolic equations
• Asymptotics of some nonlinear eigenvalue problems for a MEMS capacitor: Part I: Fold point asymptotics
• The effect of the small-aspect-ratio approximation on canonical electrostatic MEMS models
• On the quenching behavior of the solution of a semilinear parabolic equation
• A Note on the Quenching Rate
• Analysis of the Dynamics and Touchdown in a Model of Electrostatic MEMS
• On MEMS equation with fringing field

This page was built for publication: On a parabolic equation in MEMS with fringing field