65 citations · 457 across the 27 of their papers we have counts for
4 papers · 2 filters
On the analyticity of periodic gravity water waves with integrable vorticity function
Joachim Escher, Bogdan-Vasile Matioc
We prove that the streamlines and the profile of periodic gravity water waves traveling over a flat bed with wavespeed which exceeds the horizontal velocity of all fluid particles…
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…
Steady-state fingering patterns for a periodic Muskat problem
Mats Ehrnstrom, Joachim Escher, Bogdan-Vasile Matioc
We study global bifurcation branches consisting of stationary solutions of the Muskat problem. It is proved that the steady-state fingering patterns blow up as the surface tension…
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…