2 citations · 2 across the 3 of their papers we have counts for
4 papers
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…
A parabolic free boundary problem modeling electrostatic MEMS
Joachim Escher, Philippe Laurencot, Christoph Walker
The evolution problem for a membrane based model of an electrostatically actuated microelectromechanical system (MEMS) is studied. The model describes the dynamics of the membrane…
Non-negative global weak solutions for a degenerated parabolic system approximating the two-phase Stokes problem
Joachim Escher, Bogdan-Vasile Matioc
We establish the existence of non-negative global weak solutions for a strongly couple degenerated parabolic system which was obtained as an approximation of the two-phase Stokes p…