On centre subspace behaviour in thin flm equations
Analysis of PDEs
2009-01-27 v1
Abstract
It is shown that the fourth-order parabolic thin film equation with critical absorption admits the large time behaviour, where special logarithmic perturbations enter the standard source-type asymptotics. Such asymptpotic phenomena on existence of logarithmic factors are known for semilinear heat equation with absorption since the 1980s.
Keywords
Cite
@article{arxiv.0901.3995,
title = {On centre subspace behaviour in thin flm equations},
author = {V. A. Galaktionov and P. J. Harwin},
journal= {arXiv preprint arXiv:0901.3995},
year = {2009}
}
Comments
27 pages, 4 figures