71 citations · 460 across the 61 of their papers we have counts for
6 papers · 1 filter
A free boundary problem modeling electrostatic MEMS: II. nonlinear bending effects
Philippe Laurencot, Christoph Walker
Well-posedness of a free boundary problem for electrostatic microelectromechanical systems (MEMS) is investigated when nonlinear bending effects are taken into account. The model d…
A free boundary problem modeling electrostatic MEMS: I. Linear bending effects
Philippe Laurencot, Christoph Walker
The dynamical and stationary behaviors of a fourth-order evolution equation with clamped boundary conditions and a singular nonlocal reaction term, which is coupled to an elliptic…
Finite time singularity in a free boundary problem modeling MEMS
Joachim Escher, Philippe Laurencot, Christoph Walker
The occurrence of a finite time singularity is shown for a free boundary problem modeling microelectromechanical systems (MEMS) when the applied voltage exceeds some value. The mod…
A fourth-order model for MEMS with clamped boundary conditions
Philippe Laurencot, Christoph Walker
The dynamical and stationary behaviors of a fourth-order equation in the unit ball with clamped boundary conditions and a singular reaction term are investigated. The equation aris…
Sign-Preserving Property for Some Fourth-Order Elliptic Operators in One Dimension and Radial Symmetry
Philippe Laurencot, Christoph Walker
For a class of one-dimensional linear elliptic fourth-order equations with homogeneous Dirichlet boundary conditions it is shown that a non-positive and non-vanishing right-hand si…
Dynamics of a free boundary problem with curvature modeling electrostatic MEMS
Joachim Escher, Philippe Laurencot, Christoph Walker
The dynamics of a free boundary problem for electrostatically actuated microelectromechanical systems (MEMS) is investigated. The model couples the electric potential to the deform…