Speaker
Christina Lienstromberg
(University of Stuttgart)
Description
We study the dynamic behaviour of a thin viscous fluid film coating the inner wall of a rotating cylinder -- a so-called rimming flow.
The resulting equation for the height of the fluid film is a quasilinear, degenerate parabolic PDE of fourth order.
Various competing effects drive the dynamics of the interface -- viscosity, surface tension and gravity.
For a positive surface tension parameter of order one, we investigate existence and stability of positive steady states, depending on the influence of gravity.
Authors
Christina Lienstromberg
(University of Stuttgart)
Juri Joussen
(University of Stuttgart)
Juan J. L. Velázquez
(Bonn University)
Janne Laudien
(University of Stuttgart)