Existence and behavior of asymmetric traveling wave solutions to thin film equation

Details Existence and behavior of asymmetric traveling wave solutions to thin film equation Existence and behavior of asymmetric traveling wave solutions to thin film equation

2008-04-17

arxiv.org/abs/0804.2795v2

Mathematics

Analysis of PDEs

14 pages, 2 figure

Scientific paper

We proved the existence and uniqueness of a traveling wave solution to the
thin film equation with a Navier slip condition at the liquid-solid interface.
We obtain explicit lower and upper bounds for the solution and an absolute
error estimate of approximation of a solution to the thin films equation by the
traveling-wave solution.

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