Events for 10/05/2021 from all calendars

Nonlinear Partial Differential Equations

Time: 3:00PM - 4:00PM

Location: Zoom

Speaker: Hatem Zaag, CNRS & Université Sorbonne Paris Nord

Title: Profile of a touch-down solution to a nonlocal MEMS model

Abstract: We consider a non local PDE of parabolic type modelling a MicroElectrMechanical System (MEMS). A MEMS is an electronic device available in every day life (microphone, etc.). It consists in an elastic membrane hanging above a rigid plate connected to an electric source and a capacitor. If ever the membrane reaches the rigid plate, we say that we have a "touch-down", which damages the device and has henceforth to be avoided. In this talk, we show that touch-down may occur, for a special class of initial data, under some conditions on parameters. We also describe the "shape" (in fact the profile) of the solution near the touch-down time.