6 citations · 13 across the 6 of their papers we have counts for
6 papers · 1 filter
Analysis and Numerics of a Stationary Drift-Diffusion Model for Electrical Discharge in MEMS
Runan He, Wenjia Xie
This work presents the analysis and numerical simulation of a stationary drift-diffusion model for electrical discharge in micro-electro-mechanical systems (MEMS). The model couple…
Analysis of a Model for Electrical Discharge in MEMS
Heiko Gimperlein, Runan He, Andrew A. Lacey
We study the local well-posedness of the solution to a coupled nonlinear elliptic-parabolic system which models electrical discharge in a Micro-Electro-Mechanical System (MEMS). A…
Existence and uniqueness for a coupled parabolic-hyperbolic model of MEMS
Heiko Gimperlein, Runan He, Andrew A. Lacey
Local well-posedness for a nonlinear parabolic-hyperbolic coupled system modelling Micro-Electro-Mechanical System (MEMS) is studied. The particular device considered is a simple c…
Wellposedness of a nonlinear parabolic-dispersive coupled system modelling MEMS
Heiko Gimperlein, Runan He, Andrew A. Lacey
In this paper we study the local wellposedness of the solution to a non-linear parabolic-dispersive coupled system which models a Micro-Electro-Mechanical System (MEMS). A simple e…
Wellposedness of an elliptic-dispersive coupled system for MEMS
Heiko Gimperlein, Runan He, Andrew A. Lacey
In this work, we study the local wellposedness of the solution to a nonlinear elliptic-dispersive coupled system which serves as a model for a Micro-Electro-Mechanical System (MEMS…
Quenching for a semi-linear wave equation for MEMS
Heiko Gimperlein, Runan He, Andrew A. Lacey
We consider the formation of finite-time quenching singularities for solutions of semi-linear wave equations with negative power nonlinearities, as can model micro-electro-mechanic…