50 citations · 172 across the 48 of their papers we have counts for
3 papers · 2 filters
Variational solutions to an evolution model for MEMS with heterogeneous dielectric properties
Philippe Laurençot, Christoph Walker
The existence of weak solutions to the obstacle problem for a nonlocal semilinear fourth-order parabolic equation is shown, using its underlying gradient flow structure. The model…
Reinforced limit of a MEMS model with heterogeneous dielectric properties
Philippe Laurençot, Katerina Nik, Christoph Walker
A MEMS model with an insulating layer is considered and its reinforced limit is derived by means of a Gamma convergence approach when the thickness of the layer tends to zero. The…
Shape derivative of the Dirichlet energy for a transmission problem
Philippe Laurençot, Christoph Walker
For a transmission problem in a truncated two-dimensional cylinder located beneath the graph of a function u, the shape derivative of the Dirichlet energy (with respect to u) is sh…