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math.AP2019
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…
math.AP2019
Mass-conserving self-similar solutions to coagulation-fragmentation equations
Philippe Laurençot
Existence of mass-conserving self-similar solutions with a sufficiently small total mass is proved for a specific class of homogeneous coagulation and fragmentation coefficients. T…
math.AP2019★ 11 cited
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…