A regularization of a reaction-diffusion system approximation to the two-phase Stefan problem

Hideki Murakawa

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

Reaction-diffusion system approximations to the classical two-phase Stefan problem are considered in the present study. A reaction-diffusion system approximation to the Stefan problem has been proposed by Hilhorst et al. from an ecological point of view, and they have given convergence results for the system. In the present study, a new reaction-diffusion system approximation to the Stefan problem is proposed based on regularization of the enthalpy-temperature constitutive relation. For a deeper understanding of the approximation mechanism by means of reaction-diffusion systems, the rates of convergence for both the solutions and the free boundaries are investigated.

Original languageEnglish
Pages (from-to)3512-3524
Number of pages13
JournalNonlinear Analysis, Theory, Methods and Applications
Volume69
Issue number10
DOIs
Publication statusPublished - Nov 15 2008

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

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