Invariant Manifolds for the Thin Film Equation
Analysis of PDEs
2022-12-06 v1
Abstract
The large-time behavior of solutions to the thin film equation with linear mobility in the complete wetting regime on is examined: We investigate the higher order asymptotics of solutions converging towards self-similar Smyth--Hill solutions under certain symmetry assumptions on the initial data. The analysis is based on a construction of finite-dimensional invariant manifolds that solutions approximate to an arbitrarily prescribed order.
Keywords
Cite
@article{arxiv.2212.02262,
title = {Invariant Manifolds for the Thin Film Equation},
author = {Christian Seis and Dominik Winkler},
journal= {arXiv preprint arXiv:2212.02262},
year = {2022}
}