3 papers
math.AP2021
On a Free Boundary Model for Three-Dimensional MEMS with a Hinged Top Plate II: Parabolic Case
Katerina Nik
A parabolic free boundary problem modeling a three-dimensional electrostatic MEMS device is investigated. The device is made of a rigid ground plate and an elastic top plate which…
math.AP2021
On a Free Boundary Model for Three-Dimensional MEMS with a Hinged Top Plate I: Stationary Case
Katerina Nik
A stationary free boundary problem modeling a three-dimensional electrostatic MEMS device is investigated. The device is made of a rigid ground plate and an elastic top plate which…
math.AP2020
Energy minimizers for an asymptotic MEMS model with heterogeneous dielectric properties
Philippe Laurençot, Katerina Nik, Christoph Walker
A model for a MEMS device, consisting of a fixed bottom plate and an elastic plate, is studied. It was derived in a previous work as a reinforced limit when the thickness of the in…