65 citations · 457 across the 27 of their papers we have counts for
5 papers · 1 filter
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…
Geodesic Completeness for Sobolev -metrics on the Diffeomorphisms Group of the Circle
Joachim Escher, Boris Kolev
We prove that the weak Riemannian metric induced by the fractional Sobolev norm on the diffeomorphisms group of the circle is geodesically complete, provided .
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…