English

Loss of embeddedness for the one-phase quasistationary Stefan problem in 2D

Analysis of PDEs 2025-11-03 v1

Abstract

We provide an example for a smooth and embedded initial state that looses embeddedness in finite time when evolving according to the quasistationary Stefan problem with Gibbs-Thomson correction and kinetic undercooling in 2D.

Keywords

Cite

@article{arxiv.2510.26924,
  title  = {Loss of embeddedness for the one-phase quasistationary Stefan problem in 2D},
  author = {Friedrich Lippoth},
  journal= {arXiv preprint arXiv:2510.26924},
  year   = {2025}
}