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

2019/10/09 by Laurençot, Philippe, Walker, Christoph
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1910.04008

Abstract

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.

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