报告题目：The oblique collision of internal solitary waves

报告人：袁春鑫 博士

邀请人：徐振华 研究员

报告摘要：Based on a variable-coefficient Kadomtsev–Petviashvili (KP) equation, the topographic effect on the wave interactions between two oblique internal solitary waves is investigated. In the absence of rotation and background shear, the model set-up featuring idealised shoaling topography and continuous stratification is motivated by the large expanse of continental shelf in the South China Sea. When the bottom is flat, the evolution of an initial wave consisting of two branches of internal solitary waves can be categorised into six patterns depending on the respective amplitudes and the oblique angles measured counterclockwise from the transverse axis. Using theoretical multi-soliton solutions of the constant-coefficient KP equation, we select three observed patterns and examine each of them in detail both analytically and numerically. The effect of shoaling topography leads to a complicated structure of the leading waves and the emergence of two types of trailing wave trains.

Nevertheless, one of shortcomings of the KP equation is the variations in the transverse direction is one-order smaller than those in the propagating direction, which indicates that the KP equation is plausibly inadequate for the collisions with large angles. Recently, we derive an isotropic model for the description of 3D internal solitary waves.

报告人简介：袁春鑫博士，本科毕业于中国海洋大学海洋科学专业，博士毕业于University College London数学系流体动力学研究组，目前就职于中国海洋大学数学科学学院、海洋数学技术联合实验室。主要从事非线性波动、海洋内波、海洋涡旋与环流的研究，侧重于数学方法和理论与物理海洋学的交叉，其研究成果以第一作者身份发表在Journal of Fluid Mechanics、Journal of Physical Oceanography等国际权威期刊上。

报告时间：2019年12月25日（周三）上午9:30

报告地点：5号楼511会议室

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