50 citations · 172 across the 48 of their papers we have counts for
4 papers · 1 filter
A stationary free boundary problem modeling electrostatic MEMS
Philippe Laurencot, Christoph Walker
A free boundary problem describing small deformations in a membrane based model of electrostatically actuated MEMS is investigated. The existence of stationary solutions is establi…
Two-Phase Flow in Rotating Hele-Shaw Cells with Coriolis Effects
Joachim Escher, Patrick Guidotti, Christoph Walker
The free boundary problem of a two phase flow in a rotating Hele-Shaw cell with Coriolis effects is studied. Existence and uniqueness of solutions near spheres is established, and…
Weak solutions to a thin film model with capillary effects and insoluble surfactant
Joachim Escher, Matthieu Hillairet, Philippe Laurencot +1
The paper focuses on a model describing the spreading of an insoluble surfactant on a thin viscous film with capillary effects taken into account. The governing equation for the fi…
A Note on a Nonlocal Nonlinear Reaction-Diffusion Model
Christoph Walker
We give an application of the Crandall-Rabinowitz theorem on local bifurcation to a system of nonlinear parabolic equations with nonlocal reaction and cross-diffusion terms as well…