| Contents |
| We consider a damped wave equation with singular nonlinearity and Dirichlet boundary condition in a bounded domain, which describes an electrostatic micro-electro-mechanical system (MEMS) device. We show that the pull-in voltage $\lambda^*$ is the critical threshold for global existence and quenching in this wave equation. More precisely, if
the applied voltage $\lambda\lambda^*$, then any solution quenches in finite
time. Finally, we analyze the relation between the hyperbolic model and the parabolic model through the viscosity dominated limit. |
|