Waiting time phenomena of the Hele-Shaw and the Stefan problem

Sunhi Choi, Inwon Kim

Research output: Contribution to journalArticle

7 Scopus citations

Abstract

In this paper we investigate the waiting time phenomena for the one-phase Hele-Shaw and Stefan problems. For the Hele-Shaw problem we identify a general criterion on the growth rate of the initial data, which determines the occurrence of a waiting time. For the Stefan problem we show that the waiting time phenomena depend on the balance between the initial data and the geometry of the initial positive phase. Indiana University Mathematics Journal

Original languageEnglish (US)
Pages (from-to)525-551
Number of pages27
JournalIndiana University Mathematics Journal
Volume55
Issue number2
DOIs
StatePublished - Jun 8 2006
Externally publishedYes

Keywords

  • Free boundary problem
  • Hele-Shaw problem
  • Stefan problem
  • Viscosity solutions
  • Waiting time phenomena

ASJC Scopus subject areas

  • Mathematics(all)

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