Hyperbolic quenching problem with damping in the MEMS device
主講人：黃博峙博士國立中央大學數學系 下午1:00–3:00 地點：中央大學健雄館 208室Abstract:
Typically, the device of a microelectromechanical system (MEMS) consists of an electric membrane hanged above a rigid ground plate, connected in series with fixed voltage source and a fixed capacitor. As the potential difference applied between the membrane and the plate causes the membrane to be deformed. In this talk, I will describe how we model the deformation of the membrane to get a hyperbolic equation with damping. I also will provide some criteria for quenching and global existence of the solution. Finally, I would like to introduce some unsolved problem relating to this model.