Convergence of energy minimizers of a MEMS model in the reinforced limit

Philippe Laurençot (1) , Katerina Nik (2) , Christoph Walker (3)

1 IMT - Institut de Mathématiques de Toulouse UMR5219
2 Universität Wien = University of Vienna
3 IFAM - Institut für Angewandte Mathematik [Hannover]

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 to zero. The proof relies on the identification of the Γ-limit of the energy in this limit.

Mots clés: MEMS; transmission problem; Gamma-convergence; minimizers

Domaines: Equations aux dérivées partielles [math.AP]

Philippe Laurençot, Katerina Nik, Christoph Walker. Convergence of energy minimizers of a MEMS model in the reinforced limit. 2020. ⟨hal-03018304v1⟩