Polygonal Hele?Shaw problem with surface tension

Masato Kimura, Daisuke Tagami, Shigetoshi Yazaki

研究成果: ジャーナルへの寄稿記事

1 引用 (Scopus)

抄録

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

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interfacial tension
analogs

All Science Journal Classification (ASJC) codes

  • Surfaces and Interfaces

これを引用

Polygonal Hele?Shaw problem with surface tension. / Kimura, Masato; Tagami, Daisuke; Yazaki, Shigetoshi.

:: Interfaces and Free Boundaries, 巻 15, 番号 1, 18.06.2013, p. 77-93.

研究成果: ジャーナルへの寄稿記事

Kimura, Masato ; Tagami, Daisuke ; Yazaki, Shigetoshi. / Polygonal Hele?Shaw problem with surface tension. :: Interfaces and Free Boundaries. 2013 ; 巻 15, 番号 1. pp. 77-93.
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