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 |
| 巻 | 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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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
}
TY - JOUR
T1 - Polygonal Hele?Shaw problem with surface tension
AU - Kimura, Masato
AU - Tagami, Daisuke
AU - Yazaki, Shigetoshi
PY - 2013/6/18
Y1 - 2013/6/18
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84878943747&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84878943747&partnerID=8YFLogxK
U2 - 10.4171/IFB/295
DO - 10.4171/IFB/295
M3 - Article
AN - SCOPUS:84878943747
VL - 15
SP - 77
EP - 93
JO - Interfaces and Free Boundaries
JF - Interfaces and Free Boundaries
SN - 1463-9963
IS - 1
ER -