A wide range of microelectromechanical systems (MEMSs) and devices are actuated using
electrostatic forces. Multiphysics modeling is required, since coupling among different fields …

Designing small structures necessitates an a priori understanding of various device
behaviors. The way to gain such understanding is to construct, analyze, and interpret the …

" Micro-and nanoelectromechanical systems (MEMS and NEMS), which combine electronics
with miniature-size mechanical devices, are essential components of modern technology. It …

We consider the von Kármán nonlinearity and the Casimir force to develop reduced-order
models for prestressed clamped rectangular and circular electrostatically actuated …

The" pull-in" or" snap-down" instability in electrostatically actuated microelectromechanical
systems (MEMS) presents a ubiquitous challenge in MEMS technology of great importance …

We analyze the nonlinear elliptic problem Δu=λf(x)(1+u)^2 on a bounded domain Ω of R^N
with Dirichlet boundary conditions. This equation models a simple electrostatic micro …

The pull-in voltage instability associated with a simple MEMS device, consisting of a thin
dielectric elastic membrane supported above a rigid conducting ground plate, is analyzed …

We study the influence of von Kármán nonlinearity, van der Waals force, and thermal
stresses on pull-in instability and small vibrations of electrostatically actuated microplates …

This paper examines control strategies for electrostatically actuated microelectromechanical
systems (MEMS), with the goals of using feasible measurements to eliminate the pull-in …

We study a reaction-diffusion equation in a bounded domain in the plane, which is a
mathematical model of an idealized electrostatically actuated microelectromechanical …