65 citations · 188 across the 24 of their papers we have counts for
4 papers · 1 filter
Bound States for Nano-Tubes with a Dislocation
Rainer Hempel, Martin Kohlmann, Marko Stautz +1
As a model for an interface in solid state physics, we consider two real-valued potentials and on the cylinder or tube $S=\mathbb R \times (\mathbb R/\mathbb Z)…
The abstract quasilinear Cauchy problem for a MEMS model with two free boundaries
Martin Kohlmann
In this paper, we reformulate a mathematical model for the dynamics of an idealized electrostatically actuated MEMS device with two elastic membranes as an initial value problem fo…
On an elliptic-parabolic MEMS model with two free boundaries
Martin Kohlmann
We discuss an evolution free boundary problem of mixed type with two free boundaries modeling an idealized electrostatically actuated MEMS device. While the electric potential is t…
A new model for electrostatic MEMS with two free boundaries
Martin Kohlmann
A moving boundary problem with two free boundaries modeling a two-dimensional idealized MEMS device with pull-in instability is discussed. We use a fixed point argument to show tha…