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＜紀要論文＞
PERMANENT GRAVITY WAVES ON WATER OF UNIFORM DEPTH
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| 概要 | Lévi-Civita's formulation (as an eigenvalue problem) of permanent water wave problem, which deals with a field function, holomorphic in the unit circle and satisfying a certain boundary condition on t...he circumference of it, are extended to the periodic waves in a canal of uniform depth, deep water waves and solitary wave being two special cases of it Application of an iterative procedure on this formulation supplies sufficiently accurate results, example being given. Some discussions on mass transport and eigenvalue are also included.続きを見る |
| 目次 | § 1. Transformation onto unit circle. § 2. Correspondence between z and ς. § 3. Surface condition. § 4. Iterative determination of Ω. § 5. A numerical example. § 6. Mass transport. § 7. Distribution of eigenvalue p. |
詳細
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| 登録日 | 2024.01.30 |
| 更新日 | 2024.10.22 |