50 citations · 172 across the 48 of their papers we have counts for
4 papers · 1 filter
Convergence of energy minimizers of a MEMS model in the reinforced limit
Philippe Laurençot, Katerina Nik, Christoph Walker
Energy minimizers to a MEMS model with an insulating layer are shown to converge in its reinforced limit to the minimizer of the limiting model as the thickness of the layer tends…
Strong Solutions to a Nonlocal-in-Time Semilinear Heat Equation
Christoph Walker
Existence of strong solutions to a nonlocal semilinear heat equation is shown. The main feature of the equation is that the nonlocal term depends on the unknown on the whole time i…
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…
Stationary solutions to a nonlocal fourth-order elliptic obstacle problem
Philippe Laurençot, Christoph Walker
Existence of stationary solutions to a nonlocal fourth-order elliptic obstacle problem arising from the modelling of microelectromechanical systems with heterogeneous dielectric pr…