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.
本文言語 | 英語 |
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ページ(範囲) | 77-93 |
ページ数 | 17 |
ジャーナル | Interfaces and Free Boundaries |
巻 | 15 |
号 | 1 |
DOI | |
出版ステータス | 出版済み - 2013 |
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