50 citations · 172 across the 48 of their papers we have counts for
3 papers · 1 filter
The domain of parabolicity for the Muskat problem
Joachim Escher, Bogdan-Vasile Matioc, Christoph Walker
We address the well-posedness of the Muskat problem in a periodic geometry and in a setting which allows us to consider general initial and boundary data, gravity effects, as well…
On a three-dimensional free boundary problem modeling electrostatic mems
Philippe Laurencot, Christoph Walker
We consider the dynamics of an electrostatically actuated thin elastic plate being clamped at its boundary above a rigid plate. The model includes the harmonic electrostatic potent…
On Global Solutions for Quasilinear One-Dimensional Parabolic Problems with Dynamical Boundary Conditions
Simon Gvelesiani, Friedrich Lippoth, Christoph Walker
We provide sufficient and almost optimal conditions for global existence of classical solutions in parabolic Hölder spaces to quasilinear one-dimensional parabolic problems with dy…