Regularity of the free boundary in an unstable parabolic problem
Analysis of PDEs
2025-08-25 v1
Abstract
We study the free boundary in an unstable parabolic problem arising from a model in combustion. We consider the physical situation in which the heat advances and prove that the free boundary is a hypersurface.
Cite
@article{arxiv.2508.15997,
title = {Regularity of the free boundary in an unstable parabolic problem},
author = {Mark Allen and Gilles Bokolo-Tamba},
journal= {arXiv preprint arXiv:2508.15997},
year = {2025}
}