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

Hideki Murakawa

研究成果: ジャーナルへの寄稿学術誌査読

4 被引用数 (Scopus)

抄録

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.

本文言語英語
ページ(範囲)3512-3524
ページ数13
ジャーナルNonlinear Analysis, Theory, Methods and Applications
69
10
DOI
出版ステータス出版済み - 11月 15 2008
外部発表はい

!!!All Science Journal Classification (ASJC) codes

  • 分析
  • 応用数学

フィンガープリント

「A regularization of a reaction-diffusion system approximation to the two-phase Stefan problem」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル