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 language | English |
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Pages (from-to) | 189–206 |
Number of pages | 18 |
Journal | Nonlinear Analysis: Theory, Methods and Applications |
Volume | 138 |
Early online date | 28 Feb 2016 |
DOIs | |
Publication status | Published - Jun 2016 |
Keywords
- Electrostatic MEMS
- Touchdown
- Quenching
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Profiles
-
Andrew Alfred Lacey
- School of Mathematical & Computer Sciences - Professor
- School of Mathematical & Computer Sciences, Mathematics - Professor
Person: Academic Researcher