A free boundary value problem modelling microelectromechanical systems with general permittivity

DOI10.1016/j.nonrwa.2015.03.008zbMath1328.35334OpenAlexW2207148311MaRDI QIDQ895240

Christina Lienstromberg

Publication date: 26 November 2015

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2015.03.008

zbMATH Keywords

well-posednessMEMSgeneral permittivity profilesmall-aspect ratio limit

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Free boundary problems for PDEs (35R35) Mixed-type systems of PDEs (35M30)

Related Items (7)

Finite-time singularities of solutions to microelectromechanical systems with general permittivity ⋮ A note on model reduction for microelectromechanical systems ⋮ Some singular equations modeling MEMS ⋮ Mathematical modelling and analysis of temperature effects in MEMS ⋮ Well-posedness of a quasilinear evolution problem modelling MEMS with general permittivity ⋮ A survey on second order free boundary value problems modelling MEMS with general permittivity profile ⋮ A qualitative analysis of solutions to microelectromechanical systems with curvature and nonlinear permittivity profile

Cites Work

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• Finite time singularity in a free boundary problem modeling MEMS
• A free boundary problem modeling electrostatic MEMS: I. Linear bending effects
• The existence and dynamic properties of a parabolic nonlocal MEMS equation
• On the partial differential equations of electrostatic MEMS devices. II: Dynamic case
• Global solutions of singular parabolic equations arising from electrostatic MEMS
• Uniqueness of solutions for an elliptic equation modeling MEMS
• Compact sets in the space \(L^ p(0,T;B)\)
• A stationary free boundary problem modeling electrostatic MEMS
• A parabolic free boundary problem modeling electrostatic MEMS
• Linear and quasilinear elliptic equations
• Analysis of the Dynamics and Touchdown in a Model of Electrostatic MEMS
• Dynamics of a free boundary problem with curvature modeling electrostatic MEMS
• No Touchdown at Zero Points of the Permittivity Profile for the MEMS Problem
• Touchdown and Pull-In Voltage Behavior of a MEMS Device with Varying Dielectric Properties
• Équations différentielles abstraites
• Interpolation in $L^{p}$ with boundary conditions
• Analytic semigroups and optimal regularity in parabolic problems

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