Existence and behavior of asymmetric traveling wave solutions to thin film equation
Analysis of PDEs
2008-05-08 v2
Abstract
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.
Keywords
Cite
@article{arxiv.0804.2795,
title = {Existence and behavior of asymmetric traveling wave solutions to thin film equation},
author = {Roman M. Taranets},
journal= {arXiv preprint arXiv:0804.2795},
year = {2008}
}
Comments
14 pages, 2 figure