报告题目：Combined effect of topography and rotation on oblique internal solitary wave-wave interactions

报告人：袁春鑫

工作单位：中国海洋大学

报告时间：9月20日（周三）10:00-11:00

报告地点：实训楼1710

报告摘要：

Oblique interactions between internal solitary waves (ISWs) in the ocean have been frequently recorded by satellite images, nonetheless, only a limited number of studies concentrate on these phenomena, which found that both the Earth's rotation and varying topography are important factors for the underlining wave dynamics. However, the effects of rotation at different latitudes and furthermore, their combined effects with the shoaling topography are still unclear. Thus, the aim of this paper is to investigate these combined effects on oblique ISW wave-wave interactions. Referring to observed obliquely interacting patterns, three scenarios initiated by two ISWs posing a V shape are explored using the variable-coefficient Kadomtsev-Petviashvili (KP) equation under the circumstance of continuous stratification and idealized shoaling topography. In all three experiments, rotation alone disintegrates the coherent waveforms and suppresses the emergence of a Mach stem (a wave generated at the interaction zone, characterized by the maximum of four-fold initial waves). When shoaling topography is also included, which increases the nonlinearity leading to a competition with dispersion induced by rotation, and the result is a magnification of wave amplitudes and emergence of additional trailing waves. The combined effect of these two factors modulates the birth and subsequent development of the Mach stem, alters the post-interaction patterns and determines the emergence of a nascent KdV-like undular bore, which plausibly explains the discrepancies between previous theoretical results (when the combined effect is not considered) and the measured horizontal surface signatures for ISW wave-wave interactions.

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。