The Stefan problem and concavity
Analysis of PDEs
2021-11-17 v1
Abstract
We construct examples for the one-phase Stefan problem which show that -concavity of the solution is in general not preserved in time, for . In particular, this shows that, in contrast to the case of the heat equation for a fixed convex domain, log concavity is not preserved for solutions of the Stefan problem.
Keywords
Cite
@article{arxiv.2004.04284,
title = {The Stefan problem and concavity},
author = {Albert Chau and Ben Weinkove},
journal= {arXiv preprint arXiv:2004.04284},
year = {2021}
}
Comments
12 pages