English

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

Analysis of PDEs 2019-10-10 v1

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.

Keywords

Cite

@article{arxiv.1910.04008,
  title  = {Variational solutions to an evolution model for MEMS with heterogeneous dielectric properties},
  author = {Philippe Laurençot and Christoph Walker},
  journal= {arXiv preprint arXiv:1910.04008},
  year   = {2019}
}
R2 v1 2026-06-23T11:38:43.662Z