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。
公司联系人:穆春来 王华桥
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