paper

On solutions of an ill-posed Stefan problem

arXiv:2308.07055

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.

9 pages

On solutions of an ill-posed Stefan problem · wovepaper