Mathematical Sciences: Geophysical Fluid Dynamics

这项建议涉及《公约》中的一些重要议题。 海洋波浪围绕中心旋转的流体动力学 波-波和波-固相互作用的概念。 具体 建议者将研究波浪在倾斜海滩上的反射， 参数激励的边缘波，轴对称交叉波， 共振相互作用和威尔顿的涟漪，以及潮汐 关于表面间耦合的拉普拉斯方程 和内部潮汐。 对海浪的研究有着悠久的历史， 时至今日，它仍然是一个极其重要的研究领域， 包括船舶在水中的运动，昼夜潮汐， 运动和结构。 这项建议将涉及研究 这些现象的基本数学和物理学; 从这项研究中获得的理解将具有真正的 技术意义。

This proposal concerns a number of important topics in the fluid dynamics of ocean waves revolving around the central concept of wave-wave and wave-solid interactions. Specifically the proposer will study wave reflection on a sloping beach, parametrically excited edge waves, axisymmetric cross-waves, resonant interactions and Wilton's ripples, and the tidal equations of Laplace with regard to the coupling between surface and internal tides. The study of ocean waves has a long and venerable history, and it remains today a vitally important area of research that includes the motion of ships through water, the diurnal tidal motions, and structures. This proposal will involve looking into the underlying mathematics and physics of these phenomena; the understanding gained from this research will have genuine technological significance.