A Free Boundary Problem Modeling MEMS
A talk in the Oberseminar Analysis series by
Christoph Walker from Hannover
| Abstract: | Idealized electrostatic microelectromechanical systems (MEMS) consist of a fixed ground plate above which an elastic plate is suspended. Applying a voltage difference between the two components induces a Coulomb force that deforms the elastic plate. The corresponding mathematical model involves the harmonic electrostatic potential in the free domain between the two plates along with an evolution equation for the displacement of the elastic plate. Of particular interest is the dynamics in dependence of the voltage difference applied between the plates. In this talk some results are presented on the number of stationary solutions and on the singularity that possibly occurs in the evolution when the elastic plate touches down on the ground plate. |