65 citations · 188 across the 24 of their papers we have counts for
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math.AP2014★ 2 cited
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…
math.AP2014★ 2 cited
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…
math.AP2014★ 8 cited
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…