Convergence of energy minimizers of a MEMS model in the reinforced limit

Research output: Contribution to journal › Article › Research › peer review

Authors

  • Philippe Laurençot
  • Katerina Nik
  • Christoph Walker

Research Organisations

External Research Organisations

  • Universite de Toulouse
  • University of Vienna
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Details

Original languageEnglish
Article number9
JournalActa Applicandae Mathematicae, Springer Verlag,
Volume173
Issue number1
Publication statusPublished - 14 Jun 2021

Abstract

Energy minimizers to a MEMS model with an insulating layer are shown to converge in its reinforced limit to the minimizer of the limiting model as the thickness of the layer tends to zero. The proof relies on the identification of the \(\Gamma\)-limit of the energy in this limit.

Keywords

    math.AP, Γ -Convergence, Transmission problem, Minimizers, MEMS

ASJC Scopus subject areas

Cite this

Convergence of energy minimizers of a MEMS model in the reinforced limit. / Laurençot, Philippe; Nik, Katerina; Walker, Christoph.
In: Acta Applicandae Mathematicae, Springer Verlag, Vol. 173, No. 1, 9, 14.06.2021.

Research output: Contribution to journal › Article › Research › peer review

Laurençot P, Nik K, Walker C. Convergence of energy minimizers of a MEMS model in the reinforced limit. Acta Applicandae Mathematicae, Springer Verlag,. 2021 Jun 14;173(1):9. doi: 10.48550/arXiv.2011.11075, 10.1007/s10440-021-00416-3
Laurençot, Philippe ; Nik, Katerina ; Walker, Christoph. / Convergence of energy minimizers of a MEMS model in the reinforced limit. In: Acta Applicandae Mathematicae, Springer Verlag,. 2021 ; Vol. 173, No. 1.
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