Dynamics of coupled fluid system and its applications to atmosphere and ocean.

大气和海洋是一个复杂的系统，许多现象相互作用。对这些进行了研究，以了解特定现象，并进行了适当的简化。然而，这些简化不能应用于由许多元素组成的整个系统，因为一个元素所适用的简化是不同于其他的。虽然计算机可以不作任何简化地解决问题，但它的解包含了所有的物理，而且非常复杂，不能应用传统的简单判据。本研究旨在建立一个与常规物理准则相兼容的流体动力学系统的综合理论，将常规流体稳定性问题等同于以特定方式定义的结构波的共振问题。考虑到波动量的含义，这一理论已扩展到更一般的问题。推广的理论表明，共振方程中出现的相互作用系数与结构波的波动量成正比。这表明，新的理论不仅形式上是美丽的，而且它有物理基础。该理论的进一步推广是可能的，它可以应用于海洋的西部边界流。

Atmosphere and oceans are a complicated system where many phenomena are interacting. These have been studied to understand specific phenomenon with some appropriate simplifications. These smplifications, however, can not be applied to total system that consists of many elements, because one simplificaion applied to an element differs from others. Although the computer can solve the problem without any simplificaion, its solution contains all physics and very complicated so that conventional simple criteria can not be applied. This study aims to construct a comprehensive theory of the system of fluid dynamics, that is compatible with conventional physical criteria.In this study, it is shown that the conventional stability problem of the fluid is equivalent with resonance of structural waves which is defined in specific manner. This theory has been extended to more general problems considering the meaning of wave momentum. The extended theory shows that the interaction coefficient, which appears in resonant equations, is proportional to the wave momenta of the structural waves. This indicate that the new theory is not only formaly beautiful, but it has physical bases. Further extension of the theory is possible and it can be applied to western boundary current of the ocean.