A variational approach to a stationary free boundary problem modeling MEMS
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Publication:2808051
DOI10.1051/cocv/2015012zbMath1341.35038arXiv1409.2812OpenAlexW2027601264MaRDI QIDQ2808051
Philippe Laurençot, Christoph Walker
Publication date: 26 May 2016
Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1409.2812
Free boundary problems for PDEs (35R35) Variational methods for higher-order elliptic equations (35J35)
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Vanishing aspect ratio limit for a fourth-order MEMS model ⋮ Shape derivative of the Dirichlet energy for a transmission problem ⋮ Erratum to: A variational approach to a stationary free boundary problem modeling MEMS ⋮ Heterogeneous Dielectric Properties in Models for Microelectromechanical Systems ⋮ Some singular equations modeling MEMS ⋮ Touchdown is the only finite time singularity in a three-dimensional MEMS model ⋮ On a free boundary model for three-dimensional MEMS with a hinged top plate: stationary case ⋮ On a free boundary model for three-dimensional MEMS with a hinged top plate. II: Parabolic case
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