理学院数理讲坛（2015年第三十讲）
报告人：Shu Ming Sun（弗吉尼亚理工大学,数学系教授）
题目: Exact Theory of Solitary Water Waves and Their Stability
摘要: The talk will discuss recent development on the existence and stability of two- and three-dimensional solitary waves on the water of finite depth with or without surface tension using the exact governing equations (called Euler equations). It will be shown that when the non-dimensional wave-speed and surface tension are in various regions, the Euler equations possess several different kinds of two- or three-dimensional solitary-wave solutions. Moreover, various stability results for these waves will be addressed, such as transverse instability, spectral stability, asymptotic linear stability or conditional stability.
地点：包玉书9#教学楼303
时间：6月24日(周三)下午：3:00
欢迎有兴趣的老师和学生参加。