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 |
| 巻 | 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
Kimura, M., Tagami, D., & Yazaki, S. (2013). Polygonal Hele?Shaw problem with surface tension. Interfaces and Free Boundaries, 15(1), 77-93. https://doi.org/10.4171/IFB/295