Logo Leibniz Universität Hannover
Logo: Institut für Kontinuumsmechanik/Leibniz Universität Hannover
Logo Leibniz Universität Hannover
Logo: Institut für Kontinuumsmechanik/Leibniz Universität Hannover
  • Zielgruppen
  • Suche
 

Präsentation von Dr. Georg Prokert im MUSIC-Seminar am 6.5.2010

Im MUSIC-Seminar "Multiscale Methods for Interface Coupling" trägt Herr Dr.- Georg Prokert von der TU Eindhoven über Stokes Flow driven by Surface Tension vor.

Justifying the Thin Film Approximation: A Rigorous Limit Result for Stokes Flow driven by Surface Tension

Dr. Georg Prokert, Department of Mathematics and Computer Science, TU Eindhoven, Niederlande

In the moving boundary problem of Stokes flow driven by surface tension, we pass to the limit of small layer thickness. In an appropriate scaling, the limit evolution is given by the well- known Thin Film equation. While this is straightforward on the level of formal asymptotics, a rigorous analysis has to deal with the degeneracy of the limit which is reflected e.g. in the fact that a first-order evolution equation is replaced by a limit problem of order four. Our main techniques are uniform energy estimates in appropriately scaled Sobolev norms of sufficiently high order, based on parabolicity. This is joint work with M. Günther, Leipzig.

 

Der Vortrag findet am Donnerstag, den 6.5.2010, um 14:30 im Seminarraum des Instituts für Kontinuumsmechanik (Appelstr. 11, Raum A134) statt.