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Finite time singularity in a MEMS model revisited

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Autoren

  • Philippe Laurençot
  • Christoph Walker

Organisationseinheiten

Externe Organisationen

  • Université de Toulouse

Details

OriginalspracheEnglisch
Seiten (von - bis)209-219
Seitenumfang11
FachzeitschriftZeitschrift fur Analysis und ihre Anwendung
Jahrgang37
Ausgabenummer2
PublikationsstatusVeröffentlicht - 30 März 2018

Abstract

A free boundary problem modeling a microelectromechanical system consisting of a fixed ground plate and a deformable top plate is considered, the plates being held at different electrostatic potentials. It couples a second order semilinear parabolic equation for the deformation of the top plate to a Laplace equation for the electrostatic potential in the device. The validity of the model is expected to break down in finite time when the applied voltage exceeds a certain value, a nite time singularity occurring then. This result, already known for non-positive initial configurations of the top plate, is here proved for arbitrary ones and thus now includes, in particular, snap-through instabilities.

ASJC Scopus Sachgebiete

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Finite time singularity in a MEMS model revisited. / Laurençot, Philippe; Walker, Christoph.
in: Zeitschrift fur Analysis und ihre Anwendung, Jahrgang 37, Nr. 2, 30.03.2018, S. 209-219.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Laurençot P, Walker C. Finite time singularity in a MEMS model revisited. Zeitschrift fur Analysis und ihre Anwendung. 2018 Mär 30;37(2):209-219. doi: 10.48550/arXiv.1612.05761, 10.4171/ZAA/1610
Laurençot, Philippe ; Walker, Christoph. / Finite time singularity in a MEMS model revisited. in: Zeitschrift fur Analysis und ihre Anwendung. 2018 ; Jahrgang 37, Nr. 2. S. 209-219.
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