Selfsimilar solutions in a sector for a quasilinear parabolic equation
Analysis of PDEs
2014-06-19 v3
Abstract
We study a two-point free boundary problem in a sector for a quasilinear parabolic equation. The boundary conditions are assumed to be spatially and temporally "self-similar" in a special way. We prove the existence, uniqueness and asymptotic stability of an expanding solution which is self-similar at discrete times. We also study the existence and uniqueness of a shrinking solution which is self-similar at discrete times.
Keywords
Cite
@article{arxiv.1008.3626,
title = {Selfsimilar solutions in a sector for a quasilinear parabolic equation},
author = {Bendong Lou},
journal= {arXiv preprint arXiv:1008.3626},
year = {2014}
}
Comments
23 pages