6月17日:刘跃
发布时间:2015-06-12  阅读次数:5132

报告题目:On the rotation-two-component-Camassa-Holm system modelling the equatorial water waves

报告人:刘跃 教授(University of Texas at Arlington)

主持人:陈勇 教授

报告时间:2015年6月17日  15:00—16:30

报告地点:中山校区理科大楼B1102

 

 

报告摘要:

       In this talk, a modified two-component Camassa-Holm system with the effect of the Coriolis force in the rotating fluid is derived, which is a model in the equatorial water waves. The effects of the Coriolis force caused by the Earth's rotation and nonlocal nonlinearities on blow-up criteria and wave-breaking phenomena are then investigated. Our refined analysis relies on the method of characteristics and conserved quantities and is proceeded with the Riccati-type differential inequality. Finally, conditions which guarantee the permanent waves are obtained by using a method of the Lyapunov function.

报告人简介:

       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。研究方向为:Stability Theory of Nonlinear Wave Equations, Formation of Singularities, Local and Global Well-posedness, Long-time Asymptotics of Solutions, and Numerical Analysis. 已在Adv. Math., Comm. Math. Phys., J. Nonlinear Sci.,J. Differential Equations, Nonlinearity上发表多篇学术论文。

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