Variational solutions to an evolution model for MEMS with heterogeneous dielectric properties

Philippe Laurençot (1) , Christoph Walker (2)

1 IMT - Institut de Mathématiques de Toulouse UMR5219
2 IFAM - Institut für Angewandte Mathematik

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 governs the dynamics of a microelectromechanical system with heterogeneous dielectric properties.

Mots clés: MEMS; gradient flow; transmission problem; obstacle problem; fourth-order equation

Domaines: Equations aux dérivées partielles [math.AP]

Philippe Laurençot, Christoph Walker. Variational solutions to an evolution model for MEMS with heterogeneous dielectric properties. Discrete and Continuous Dynamical Systems - Series S, 2021, 14 (2), pp.677--694. ⟨hal-02308431⟩