Existence and behavior of asymmetric traveling wave solutions to thin film equation
arXiv:0804.2795
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.
14 pages, 2 figure