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）
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.
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。