报 告 人：刘跃 教授
报告题目：On the modelling of the shallow-water waves with the Coriolis effect
报告时间：2019年6月10日（周一）下午3:30
报告地点：静远楼204室
主办单位：数学与统计学院、科学技术研究院
报告人简介：
刘跃（Yue Liu）教授在美国德克萨斯大学阿灵顿分校数学系任职，美国布朗大学应用数学系博士毕业，师从国际著名数学家Walter Strauss教授。刘跃教授主要研究兴趣在非线性波解的适定型、稳定性、长时间性态以及数值计算等，在CPAM, ARMA, CMP, Adv. Math., JMPA, JFA, CPDE, Math. Ann., Math. Z., TAMS, SIMA. MA. 等国际著名刊物上发表论文90余篇。
报告摘要：
In the present talk, we derive a simplified phenomenological model of shallow-water wave propagating mainly in the equatorial ocean regions with the Coriolis effect caused by the Earth's rotation. The model equation which is analogous to the Green-Naghdi equations with the second-order approximation of the Camassa-Holm scaling captures stronger nonlinear effects than the classical dispersive integrable equations like the Korteweg-de Vries and two-component Camassa-Holm system. The wave-breaking phenomena are investigated based on the method of characteristics and the Riccati-type differential inequality. The condition of permanent waves is also demonstrated by analyzing competition between the slope of average of horizontal velocity component and the free surface component.
联 系 人：刘江