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math.AP2017
On a model for a sliding droplet:Well-posedness and stability of translating circular solutions
Patrick Guidotti, Christoph Walker
In this paper the model for a highly viscous droplet sliding down an inclined plane is analyzed. It is shown that, provided the slope is not too steep, the corresponding moving bou…
math.AP2013★ 3 cited
Equilibria and Their Stability for a Viscous Droplet Model
Patrick Guidotti
A classical model of fluid dynamics is considered which describes the shape evolution of a viscous liquid droplet on a homogeneous substrate. All equilibria are characterized and t…
math.AP2011
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…