| Co-Investigator(Kenkyū-buntansha) |
片岡 武 神戸大学, 工学研究科, 准教授 (20273758)
井口 達雄 慶應義塾大学, 理工学部(矢上), 教授 (20294879)
柿沼 太郎 鹿児島大学, 理工学域工学系, 准教授 (70371755)
丸野 健一 早稲田大学, 理工学術院, 教授 (80380674)
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| Budget Amount *help |
¥15,080,000 (Direct Cost: ¥11,600,000、Indirect Cost: ¥3,480,000)
Fiscal Year 2021: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2020: ¥5,460,000 (Direct Cost: ¥4,200,000、Indirect Cost: ¥1,260,000)
Fiscal Year 2019: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2018: ¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2017: ¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
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| Outline of Final Research Achievements |
Large-amplitude ocean waves may cause serious damage such as tsunami disaster and ship capsizing. Also it has been observed that the density stratification may generate internal waves propagating in the sea with large-amplitude more than 100m. On the other hand, ocean wave motion can be formulated as a mathematical problem with fluid dynamics and some approximate theories for small-amplitude waves theory have been developed, while it is highly challenging to solve this problem for large-amplitude waves due to the strong nonlinearity of boundary conditions at the sea surface. Therefore this work has not only academic but also practical significance. This work models this nonlinear phenomenon using some mathematical techniques such as asymptotic theory, complex analysis and integrable system theory. Theoretical analyses and numerical examples demonstrate that the proposed mathematical models elucidate some essential characteristics of large-amplitude motion of ocean waves very well.
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