报告题目：Oblique internal solitary wave-wave interactions in a bidirectional isotropic theoretical model

报告人：袁春鑫

工作单位：中国海洋大学

报告时间：5月10日（周三）10:00-11:00

报告地点：实训楼1710

报告摘要：

In this talk, based on a variable-coefficient Kadomtsev-Petviashvili (KP) equation, the topographic effect on the wave interactions between two oblique internal solitary waves was investigated (JFM, 2018). In the absence of rotation and background shear, the model set-up featuring idealised shoaling topography and continuous stratification was 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, the KP equation (at least theoretically) requires the variations in the transverse direction is one-order smaller than those in the propagating direction, and more importantly, it is an uni-directional equation, which indicates that the KP equation is plausibly inadequate for some general cases. Recently, we have derived an bi-directional propagating isotropic model, modified Benney-Luke (mBL) equation, for the description of 3D internal solitary waves and we used it to investigate the internal solitary wave-wave interactions further.

报告人简介：

袁春鑫：中国海洋大学副教授，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。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，其研究成果发表在Journal of Fluid Mechanics、Journal of Physical Oceanography等国际知名期刊上。主持和参与了多项国家自然科学基金、国家重点研发计划课题和山东省自然科学基金。