On qualitative properties of solutions to microelectromechanical systems with general permittivity

DOI10.1007/s00605-015-0744-5zbMath1336.35256OpenAlexW1968896764MaRDI QIDQ264059

Christina Lienstromberg

Publication date: 5 April 2016

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-015-0744-5

zbMATH Keywords

free boundary problemfinite-time singularityMEMSnon-positivity

Mathematics Subject Classification ID

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) Mixed-type systems of PDEs (35M30)

Related Items

On semilinear elliptic equation with negative exponent arising from a closed MEMS model ⋮ 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

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