English

A Convergence result for a Stefan problem with phase relaxation

Analysis of PDEs 2024-05-10 v1

Abstract

In this paper we consider the model of phase relaxation introduced in [22], where an asymptotic analysis is performed toward an integral formulation of the Stefan problem when the relaxation parameter approaches zero. Assuming the natural physical assumption that the initial condition of the phase is constrained, but taking more general boundary conditions, we prove that the solution of this relaxed model converges in a stronger way to the solution of the classical weak Stefan problem.

Keywords

Cite

@article{arxiv.2405.05570,
  title  = {A Convergence result for a Stefan problem with phase relaxation},
  author = {Vincenzo Recupero},
  journal= {arXiv preprint arXiv:2405.05570},
  year   = {2024}
}
R2 v1 2026-06-28T16:21:44.254Z