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 |
|---|---|
| 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
Fingerprint Dive into the research topics of 'On the quenching of a nonlocal parabolic problem arising in electrostatic MEMS control'. Together they form a unique fingerprint.
Profiles
Andrew Alfred Lacey
- School of Mathematical & Computer Sciences - Professor
- School of Mathematical & Computer Sciences, Mathematics - Professor
Person: Academic (Research & Teaching)
Cite this
Lacey, A. A., Kavallaris, N., & Nikolopoulos, C. (2016). On the quenching of a nonlocal parabolic problem arising in electrostatic MEMS control. Nonlinear Analysis: Theory, Methods and Applications, 138, 189–206. https://doi.org/10.1016/j.na.2016.02.001