Polygonal Hele?Shaw problem with surface tension

Masato Kimura, Daisuke Tagami, Shigetoshi Yazaki

研究成果: Contribution to journalArticle

1 引用 (Scopus)

抜粋

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.

元の言語英語
ページ(範囲)77-93
ページ数17
ジャーナルInterfaces and Free Boundaries
15
発行部数1
DOI
出版物ステータス出版済み - 6 18 2013

All Science Journal Classification (ASJC) codes

  • Surfaces and Interfaces

フィンガープリント Polygonal Hele?Shaw problem with surface tension' の研究トピックを掘り下げます。これらはともに一意のフィンガープリントを構成します。

  • これを引用