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Solution of the Kirchhoff - Plateau problem
https://oist.repo.nii.ac.jp/records/194
https://oist.repo.nii.ac.jp/records/194b82e3a26-5139-4e00-a416-85bc10a42eb6
名前 / ファイル | ライセンス | アクション |
---|---|---|
s00332-017-9359-4 (1.4 MB)
|
Creative Commons Attribution 4.0 International
(http://creativecommons.org/licenses/by/4.0/) |
Item type | 学術雑誌論文 / Journal Article(1) | |||||
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公開日 | 2017-12-28 | |||||
タイトル | ||||||
タイトル | Solution of the Kirchhoff - Plateau problem | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | Solution of the Kirchhoff - Plateau problem | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
資源タイプ | journal article | |||||
著者(英) |
Giulio G., Giusteri
× Giulio G., Giusteri× Lussardi, Luca× Fried, Eliot |
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書誌情報 |
en : Journal of Nonlinear Science 巻 27, 号 3, p. 1043-1063, 発行日 2017-01-13 |
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抄録 | ||||||
内容記述タイプ | Other | |||||
内容記述 | The Kirchhoff–Plateau problem concerns the equilibrium shapes of a system in which a flexible filament in the form of a closed loop is spanned by a liquid film, with the filament being modeled as a Kirchhoff rod and the action of the spanning surface being solely due to surface tension. We establish the existence of an equilibrium shape that minimizes the total energy of the system under the physical constraint of noninterpenetration of matter, but allowing for points on the surface of the bounding loop to come into contact. In our treatment, the bounding loop retains a finite cross-sectional thickness and a nonvanishing volume, while the liquid film is represented by a set with finite two-dimensional Hausdorff measure. Moreover, the region where the liquid film touches the surface of the bounding loop is not prescribed a priori. Our mathematical results substantiate the physical relevance of the chosen model. Indeed, no matter how strong is the competition between surface tension and the elastic response of the filament, the system is always able to adjust to achieve a configuration that complies with the physical constraints encountered in experiments. | |||||
出版者 | ||||||
出版者 | Springer | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 0938-8974 | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 1432-1467 | |||||
PubMed番号 | ||||||
関連タイプ | isIdenticalTo | |||||
識別子タイプ | PMID | |||||
関連識別子 | info:pmid/28690367 | |||||
DOI | ||||||
関連タイプ | isIdenticalTo | |||||
識別子タイプ | DOI | |||||
関連識別子 | info:doi/10.1007/s00332-017-9359-4 | |||||
権利 | ||||||
権利情報 | © The Author(s) 2017. | |||||
関連サイト | ||||||
識別子タイプ | URI | |||||
関連識別子 | https://link.springer.com/article/10.1007%2Fs00332-017-9359-4 | |||||
著者版フラグ | ||||||
出版タイプ | VoR | |||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 |