Well-posedness of a quasilinear evolution problem modelling MEMS with general permittivity

DOI10.1007/s00028-016-0375-xzbMath1379.35308OpenAlexW2549675334MaRDI QIDQ681297

Christina Lienstromberg

Publication date: 30 January 2018

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00028-016-0375-x

zbMATH Keywords

well-posednessmoving boundary problemMEMSnon-positivitygeneral 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

A survey on second order free boundary value problems modelling MEMS with general permittivity profile

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• 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
• A qualitative analysis of solutions to microelectromechanical systems with curvature and nonlinear permittivity profile
• A note on model reduction for microelectromechanical systems
• Pointwise Multiplication of Besov and Triebel‐Lizorkin Spaces
• Dynamics of a free boundary problem with curvature modeling electrostatic MEMS