Free boundary regularity in nonlinear one-phase Stefan problem
Analysis of PDEs
2024-04-11 v1
Abstract
We study the regularity of the free boundary in one-phase Stefan problem with nonlinear operator. Using the Hodograph transform and a linearization technique, we prove that flat free boundaries are in space and time. When the operator is concave (or convex) and smooth, the free boundary is smooth.
Keywords
Cite
@article{arxiv.2404.06712,
title = {Free boundary regularity in nonlinear one-phase Stefan problem},
author = {Yamin Wang},
journal= {arXiv preprint arXiv:2404.06712},
year = {2024}
}