A Nonlocal Quenching Problem Arising in a Micro-electro Mechanical System

@inproceedings{Guo2008ANQ,
title={A Nonlocal Quenching Problem Arising in a Micro-electro Mechanical System},
author={Jong-Shenq Guo and Hu Bei and Chi-Jen Wang},
year={2008}
}

In this paper, we study a nonlocal parabolic problem arising in the study of microelectro mechanical system. The nonlocal nonlinearity involved is related to an integral over the spatial domain. We first give the structure of stationary solutions. Then we derive the convergence of global (in time) solution to the maximal solution as the time tends to infinity. Finally, we provide some quenching criteria.

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