English

On solutions of an ill-posed Stefan problem

Analysis of PDEs 2023-08-15 v1

Abstract

We study multi-phase Stefan problem with increasing Riemann initial data and with generally negative latent specific heats for the phase transitions. We propose the variational formulation of self-similar solutions, which allows to find precise conditions for existence and uniqueness of the solution.

Keywords

Cite

@article{arxiv.2308.07055,
  title  = {On solutions of an ill-posed Stefan problem},
  author = {Evgeny Yu. Panov},
  journal= {arXiv preprint arXiv:2308.07055},
  year   = {2023}
}

Comments

9 pages

R2 v1 2026-06-28T11:55:00.902Z