Finite time singularity in a free boundary problem modeling MEMS

The occurrence of a finite time singularity is shown for a free boundary problem modeling microelectromechanical systems (MEMS) when the applied voltage exceeds some value. The model involves a singular nonlocal reaction term and a nonlinear curvature term accounting for large deformations.

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Source ISSN: 0764-4442
Author Escher, Joachim, Laurencot, Philippe, Walker, Christoph
Maintainer CCSD
Last Updated May 10, 2026, 22:21 (UTC)
Created May 10, 2026, 22:21 (UTC)
Identifier hal-00828702
Language en
Rights https://about.hal.science/hal-authorisation-v1/
contributor Institut für Angewandte Mathematik [Hannover] (IFAM) ; Leibniz Universität Hannover = Leibniz University Hannover
creator Escher, Joachim
date 2013-05-10T00:00:00
harvest_object_id 6d8562fe-5360-405b-adb1-fcc409b5f438
harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2025-10-22T00:00:00
relation info:eu-repo/semantics/altIdentifier/arxiv/1305.7407
set_spec type:ART