Tuesday, 27.11.2012 03:00 pm
Well-posedness and lubrication approximation of the Darcy flow in the presence of a contact line
Dr. Hans Knüpfer, Universität Bonn
The propagation of a liquid drop on a plate is characterized by the evolution of the three-phase contact line where air, liquid and solid meet. The region occupied by the liquid is is described by a time-dependent domain with non-smooth boundary. We address well-posedness and regularity for models for the evolution of viscous fluids. We focus on certain models for fluid propagation of viscous liquids (Darcy flow, thin-film equation). Since the considered problems do not satisfy a maximum principle, the analysis is based on the dissipative
structure of the models.
Time: 03:00 pm
Location: Raum SG 11, Seminargebäude, Wüllnerstraße 5 b, 52062 Aachen