Strong solutions of the thin film equation in spherical geometry
Analysis of PDEs
2017-10-02 v1
Abstract
We study existence and long-time behaviour of strong solutions for the thin film equation using a priori estimates in a weighted Sobolev space. This equation can be classified as a doubly degenerate fourth-order parabolic and it models coating flow on the outer surface of a sphere. It is shown that the strong solution asymptotically decays to the flat profile.
Keywords
Cite
@article{arxiv.1709.10496,
title = {Strong solutions of the thin film equation in spherical geometry},
author = {Roman M. Taranets},
journal= {arXiv preprint arXiv:1709.10496},
year = {2017}
}