A Hamiltonian structure of the Isobe-Kakinuma model for water waves
| Autor: | Duchêne, Vincent, Iguchi, Tatsuo |
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| Rok vydání: | 2019 |
| Předmět: | |
| Zdroj: | Water Waves 3, pp. 193-211 (2021) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/s42286-020-00025-x |
| Popis: | We consider the Isobe-Kakinuma model for water waves, which is obtained as the system of Euler-Lagrange equations for a Lagrangian approximating Luke's Lagrangian for water waves. We show that the Isobe-Kakinuma model also enjoys a Hamiltonian structure analogous to the one exhibited by V. E. Zakharov on the full water wave problem and, moreover, that the Hamiltonian of the Isobe-Kakinuma model is a higher order shallow water approximation to the one of the full water wave problem. Comment: arXiv admin note: text overlap with arXiv:1803.09236 |
| Databáze: | arXiv |
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