On the quenching of a nonlocal parabolic problem arising in electrostatic MEMS control

Andrew Alfred Lacey, Nikos Kavallaris, Christos Nikolopoulos

Research output: Contribution to journalArticle

5 Citations (Scopus)
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Abstract

We consider a nonlocal parabolic model for a micro–electro-mechanical system. Specifically, for a radially symmetric problem with monotonic initial data, it is shown that the solution quenches, so that touchdown occurs in the device, in a situation where there is no steady state. It is also shown that quenching occurs at a single point and a bound on the approach to touchdown is obtained. Numerical simulations illustrating the results are given.
Original languageEnglish
Pages (from-to)189–206
Number of pages18
JournalNonlinear Analysis: Theory, Methods and Applications
Volume138
Early online date28 Feb 2016
DOIs
Publication statusPublished - Jun 2016

Keywords

  • Electrostatic MEMS
  • Touchdown
  • Quenching

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