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Finite time singularity in a free boundary problem modeling MEMS

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Original languageEnglish
Pages (from-to)807-812
Number of pages6
JournalComptes Rendus Mathematique
Volume351
Issue number21-22
Publication statusPublished - Nov 2013

Abstract

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 taking into account large deformations.

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Finite time singularity in a free boundary problem modeling MEMS. / Escher, Joachim; Laurençot, Philippe; Walker, Christoph.
In: Comptes Rendus Mathematique, Vol. 351, No. 21-22, 11.2013, p. 807-812.

Research output: Contribution to journalArticleResearchpeer review

Escher J, Laurençot P, Walker C. Finite time singularity in a free boundary problem modeling MEMS. Comptes Rendus Mathematique. 2013 Nov;351(21-22):807-812. doi: 10.1016/j.crma.2013.10.004
Escher, Joachim ; Laurençot, Philippe ; Walker, Christoph. / Finite time singularity in a free boundary problem modeling MEMS. In: Comptes Rendus Mathematique. 2013 ; Vol. 351, No. 21-22. pp. 807-812.
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