6月10日 刘跃教授学术报告(数学与统计学院)

时间:2019-06-10浏览:41设置

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


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