Self-similar rupture of viscous thin lms in the strong-slip regime
نویسنده
چکیده
We consider rupture of thin viscous lms in the strong-slip regime with small Reynolds numbers. Numerical simulations indicate that near the rupture point viscosity and van-der-Waals forces are dominant and that there are selfsimilar solutions of the second kind. For a corresponding simpli ed model we rigorously analyse self-similar behaviour. There exists a one-parameter family of self-similar solutions and we establish necessary and su cient 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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