A qualitative analysis of solutions to microelectromechanical systems with curvature and nonlinear permittivity profile

DOI10.1080/03605302.2015.1105259zbMath1382.35339OpenAlexW2228369589MaRDI QIDQ2810595

Christina Lienstromberg, Joachim Escher

Publication date: 3 June 2016

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605302.2015.1105259

zbMATH Keywords

finite-time singularityMEMSfree boundary value problemnon-positivitygeneral permittivity profile

Mathematics Subject Classification ID

Control, switches and devices (``smart materials) in solid mechanics (74M05) Initial-boundary value problems for second-order hyperbolic equations (35L20) Micromechanics of solids (74M25) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Free boundary problems for PDEs (35R35) PDEs in connection with mechanics of deformable solids (35Q74) Blow-up in context of PDEs (35B44) Positive solutions to PDEs (35B09) Second-order quasilinear hyperbolic equations (35L72)

Related Items (5)

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

Cites Work

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• On qualitative properties of solutions to microelectromechanical systems with general permittivity
• Finite-time singularities of solutions to microelectromechanical systems with general permittivity
• Finite time singularity in a free boundary problem modeling MEMS
• A free boundary value problem modelling microelectromechanical systems with general permittivity
• A parabolic free boundary problem modeling electrostatic MEMS
• Dynamics of a free boundary problem with curvature modeling electrostatic MEMS

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