Pull-in instability as an inherently nonlinear and crucial effect continues to become
increasingly important for the design of electrostatic MEMS and NEMS devices and ever …

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

The so-called “pull-in” instability is a ubiquitous feature of electrostatic actuation. In systems
where an applied voltage is used to actuate or move mechanical components, it is observed …

In the past fifteen years mathematical models for microelectromechanical systems (MEMS)
have been the subject of several studies, in particular due to the interesting qualitative …

Microvalves are critical in the operation of integrated microfluidic chips for a wide range of
applications. In this paper, we present an analytical model to guide the design of …

In this work we study a non-local hyperbolic equation of the form u_tt=u_xx+λ(1-
u)^2(1+α\int_0^1(1/(1-u))dx)^2 with homogeneous Dirichlet boundary conditions and …

We consider a nonlocal parabolic equation associated with Dirichlet boundary and initial
conditions arising in MEMS control. First, we investigate the structure of the associated …

In this paper, we study a nonlocal parabolic problem arising in the study of a micro-electro
mechanical system. The nonlocal nonlinearity involved is related to an integral over the …

In this paper, we are interested in the mathematical model of MEMS devices which is
presented by the following equation on (0, T)× Ω:∂ tu= Δ u+ λ (1− u) 2 (1+ γ∫ Ω 1 1− udx) 2 …

Rupture is a nonlinear instability resulting in a finite-time singularity as a film layer
approaches zero thickness at a point. We study the dynamics of rupture in a generalized …