Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
839268 | Nonlinear Analysis: Theory, Methods & Applications | 2016 | 18 Pages |
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.
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Authors
Nikos I. Kavallaris, Andrew A. Lacey, Christos V. Nikolopoulos,