报告人: Yue Liu（美国德克萨斯大学阿灵顿分校）

时  间:2018年12月14日 上午9:00--9:50

地  点:理科楼 LA107

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 local well-posedness  of the Cauchy problem is then established by the linear transport theory and wave-breaking phenomena is investigated  based  on the method of characteristics and the Riccati-type differential inequality. Finally, the condition of permanent waves is demonstrated by analyzing  competition between the slope of average of horizontal velocity component  and the free surface component.

报告人简介: 刘跃，教授，博士毕业于美国布朗大学，美国德克萨斯大学阿灵顿分校。

学院联系人:穆春来 王华桥

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