论文标题
汉密尔顿对内海浪用科里奥利力的描述
Hamiltonian description of internal ocean waves with Coriolis force
论文作者
论文摘要
界面的内波是在海洋的pycnocline或海洋热阶层形成的，由于地球旋转而受到科里奥利力的影响。提出了内部波传播的模型方程的推导。它基于内部波动力学在不旋转情况下的汉密尔顿公式，适当地扩展到结合了科里奥利力的{\ it几乎}的汉密尔顿公式。 检查了两个传播方案，即对于某些物理变量的某些地球物理尺度，长波和中间长波传播具有较小的振幅近似。获得的模型是众所周知的奥斯特罗夫斯基方程的类型，并描述了海面两个空间水平尺寸上的波传播。
The interfacial internal waves are formed at the pycnocline or thermocline in the ocean and are influenced by the Coriolis force due to the Earth's rotation. A derivation of the model equations for the internal wave propagation taking into account the Coriolis effect is proposed. It is based on the Hamiltonian formulation of the internal wave dynamics in the irrotational case, appropriately extended to a {\it nearly} Hamiltonian formulation which incorporates the Coriolis forces. Two propagation regimes are examined, the long-wave and the intermediate long-wave propagation with a small amplitude approximation for certain geophysical scales of the physical variables. The obtained models are of the type of the well-known Ostrovsky equation and describe the wave propagation over the two spatial horizontal dimensions of the ocean surface.
