GLOBAL EXISTENCE AND QUENCHING FOR A DAMPED HYPERBOLIC MEMS EQUATIONWITH THE FRINGING FIELD

10.5556/j.tkjm.48.2017.2136

TOSIYA MIYASITA

Tamkang Journal of Mathematics

48卷1期（2017 / 03 / 01）

31 - 47

英文

We study a damped hyperbolic MEMS equation with the fringing field. It arises in the Micro-Electro Mechanical System (MEMS) devices. We give some criteria for global existence and quenching of the solution. First we establish a time-local solution by a contraction mapping theorem. This procedure is standard. Next we show that there exists a global solution for the small parameter and initial value. Finally, we deal with the quenching result for the large parameter.