报告题目：具有Coriolis效应的浅水波模型

报告人：刘跃

时间：2018年12月14日下午2点30分

地点：汇贤楼122教室

主办单位：数学科学学院

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 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.

个人简介：

刘跃，美国德克萨斯大学阿灵顿分校教授，1994年获布朗大学博士学位。刘跃教授是目前国际上偏微分方程研究尤其是浅水波领域的一流专家。在偏微分方程，应用分析和流体力学，可积系统与孤子理论，非线性波方程的稳定性理论、奇异性形成、局部和整体适定性等领域取得国际领先的成果。在Comm. Pure Appl. Math., Adv. Math., Comm. Math. Phys., Arch. Ration.Mech. Anal., J. Funct. Anal., Trans. AMS《Physica D》、《J. Differential Equations》、《Nonlinearity》、《Quart. of Appl. Math.》等国际著名刊物上。