Branching analysis of a countable family of global similarity solutions of a fourth-order thin film equation
arXiv:0911.2996
Abstract
We show that various asymptotic properties of global solutions of a fourth-order quasilinear thin film equation can be described by branching from corresponding solutions of the linear bi-harmonic equation. This includes a countable family of self-similar solutions and other aspects.
arXiv comment38 pages