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On a three-dimensional free boundary problem modeling electrostatic MEMS

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Publication:345905
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DOI10.4171/IFB/368zbMath1351.35215arXiv1506.00397OpenAlexW2964298648MaRDI QIDQ345905

Philippe Laurençot, Christoph Walker

Publication date: 2 December 2016

Published in: Interfaces and Free Boundaries (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.00397


zbMATH Keywords

free boundary problemstationary solutionsMEMS


Mathematics Subject Classification ID

Plates (74K20) Free boundary problems for PDEs (35R35) PDEs in connection with mechanics of deformable solids (35Q74) Semilinear parabolic equations with Laplacian, bi-Laplacian or poly-Laplacian (35K91) Initial-boundary value problems for mixed-type systems of PDEs (35M33)


Related Items (5)

Some singular equations modeling MEMS ⋮ Mathematical modelling and analysis of temperature effects in 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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