Variational solutions to an evolution model for mems with heterogeneous dielectric properties

Research output: Contribution to journalArticleResearchpeer review

Authors

  • Philippe Laurençot
  • Christoph Walker

Research Organisations

External Research Organisations

  • Universite de Toulouse
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Details

Original languageEnglish
Pages (from-to)677-694
Number of pages18
JournalDiscrete and Continuous Dynamical Systems - Series S
Volume14
Issue number2
Publication statusPublished - Feb 2021

Abstract

The existence of weak solutions to the obstacle problem for a non-local semilinear fourth-order parabolic equation is shown, using its underlying gradient flow structure. The model governs the dynamics of a microelectromechanical system with heterogeneous dielectric properties.

Keywords

    Fourth-order equation, Gradient flow, MEMS, Obstacle problem, Transmission problem

ASJC Scopus subject areas

Cite this

Variational solutions to an evolution model for mems with heterogeneous dielectric properties. / Laurençot, Philippe; Walker, Christoph.
In: Discrete and Continuous Dynamical Systems - Series S, Vol. 14, No. 2, 02.2021, p. 677-694.

Research output: Contribution to journalArticleResearchpeer review

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