Article ID Journal Published Year Pages File Type
839268 Nonlinear Analysis: Theory, Methods & Applications 2016 18 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
Authors
, , ,