65 citations · 457 across the 27 of their papers we have counts for
3 papers · 2 filters
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…
On the well-posedness of a mathematical model describing water-mud interaction
Joachim Escher, Anca-Voichita Matioc
In this paper we consider a mathematical model describing the two-phase interaction between water and mud in a water canal when the width of the canal is small compared to its dept…