Polygonal Hele?Shaw problem with surface tension

Masato Kimura, Daisuke Tagami, Shigetoshi Yazaki

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

We study a polygonal analogue of the Hele?Shaw moving boundary problem with surface tension based on a framework of polygonal motion proposed by Bene¡s et al. [5]. A key idea is to introduce a polygonal Dirichlet-to-Neumann map. We study variational properties of the polygonal Dirichletto-Neumann map and show that our polygonal Hele?Shaw problem is a polygonal analogue of the original problem. Local solvability of a polygonal Hele?Shaw problem is also proved by means of the variational structure.

Original languageEnglish
Pages (from-to)77-93
Number of pages17
JournalInterfaces and Free Boundaries
Volume15
Issue number1
DOIs
Publication statusPublished - Jun 18 2013

All Science Journal Classification (ASJC) codes

  • Surfaces and Interfaces

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