Self-similar rupture of thin films with strong slip

Thursday, March 26, 2009 - 10:45am - 11:30am
EE/CS 3-180
Barbara Niethammer (University of Oxford)
(Joint work with D. Peschka and A. Muench).

We consider a simple model for line rupture of thin fluid films in
which Trouton viscosity and van-der-Waals forces balance. For this
model there exists a one-parameter family of second kind self-similar
solutions. We establish necessary and sufficient conditions
for convergence to any self-similar solution in a certain parameter regime.
We also present a conjecture on the domains of attraction of all self-similar
solutions which is supported by numerical simulations.
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