Finite-time singularities of solutions to microelectromechanical systems with general permittivity

DOI10.1007/S10231-016-0549-8zbMath1349.35435OpenAlexW2266030998MaRDI QIDQ343498

Joachim Escher, Christina Lienstromberg

Publication date: 28 November 2016

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-016-0549-8

zbMATH Keywords

finite-time singularityMEMSfree boundary value problemgeneral permittivity profile

Mathematics Subject Classification ID

Control, switches and devices (``smart materials) in solid mechanics (74M05) 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)

Related Items (2)

Well-posedness of a quasilinear evolution problem modelling MEMS with general permittivity ⋮ A qualitative analysis of solutions to microelectromechanical systems with curvature and nonlinear permittivity profile

Cites Work

• Finite time singularity in a free boundary problem modeling MEMS
• A free boundary value problem modelling microelectromechanical systems with general permittivity
• A note on model reduction for microelectromechanical systems
• Dynamics of a free boundary problem with curvature modeling electrostatic MEMS
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