周期底地形上内波的Hamilton长波展开

周红燕; 朴大雄

周期底地形上内波的Hamilton长波展开

中国海洋大学应用数学研究中心,山东青岛 266071

详细信息

作者简介:
周红燕(1975- ),女,山东人,博士生(E-mail:zhymath@yahoo.com.cn);朴大雄,教授(联系人.Tel:+86-532-85901052;E-mail:dxpiao@ouc.edu.cn).

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出版历程
- 收稿日期: 2007-11-27
- 修回日期: 2008-04-14
- 刊出日期: 2008-06-15

Hamiltonian Long Wave Expansions for Internal Waves Over a Periodically Varying Bottom

Research Center for Applied Mathematics, Ocean University of China, Qingdao, Shandong 266071, P. R. China

摘要

摘要: 给出了周期底部边界条件下两层密度成层流体中2-维非线性长波问题的Hamilton公式．从该公式出发，应用Hamilton摄动理论，导出了底地形短尺度变化下描述双向长波运动的有效Boussinesq方程和描述单向长波运动的近似KdV方程．结果的推导都是在多重尺度算子渐近分析理论框架下完成的．
- 内波 /
- Hamilton摄动理论 /
- 势函数 /
- Dirichlet-Neumann算子 /
- Boussinesq方程 /
- KdV方程
Abstract: A Hamiltonian formulation for two-dimensional nonlinear long waves between two bodies of immiscible fluid with a periodic bottom was derived. From the formulation, using the Hamiltonian perturbation theory, effective Boussinesq equations that describe the motion of bidirectional long waves and unidirectional equations that are similar to the KdV equation for the case in which the bottom possesses short length scale were obtained. The computations for these results are performed in the framework of an asymptotic analysis of multiple scale operators.
- internal waves /
- Hamiltonian perturbation theory /
- potential function /
- Dirichlet Neumann operator /
- Boussinesq equation /
- KdV equation

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参考文献(13)

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周期底地形上内波的Hamilton长波展开

作者简介:
周红燕(1975- ),女,山东人,博士生(E-mail:zhymath@yahoo.com.cn);朴大雄,教授(联系人.Tel:+86-532-85901052;E-mail:dxpiao@ouc.edu.cn).

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Hamiltonian Long Wave Expansions for Internal Waves Over a Periodically Varying Bottom

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留言板

周期底地形上内波的Hamilton长波展开

作者简介: 周红燕(1975- ),女,山东人,博士生(E-mail:zhymath@yahoo.com.cn);朴大雄,教授(联系人.Tel:+86-532-85901052;E-mail:dxpiao@ouc.edu.cn).

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出版历程

Hamiltonian Long Wave Expansions for Internal Waves Over a Periodically Varying Bottom

计量

出版历程

目录

作者简介:
周红燕(1975- ),女,山东人,博士生(E-mail:zhymath@yahoo.com.cn);朴大雄,教授(联系人.Tel:+86-532-85901052;E-mail:dxpiao@ouc.edu.cn).