報告時間：2018年6月22日（周五）14:30--15:30
報告地點：必一体育平台一樓報告廳
報告人：趙鵬，上海海事大學副教授
報告摘要： Solutions of the Euler equations are extremely difficult to describe, owing to the complexity of nonlinearity and dimensions. However, to get a better understanding of physical
ramifications, there have been developed many approximate models that applied to different restricted regimes. Unlike the well-known small amplitude nonlinear models that derived by perturbation method,
the Su-Gardner equations contain more dispersive effects and can be used to account for higher nonlinear phenomena with large amplitude waves. In this talk, we first derive the Su-Gardner equations from the Euler equation using depth integration method.
Then based on the scheme of perturbation procedure with respect to two small dimensionless parameters, some classical one dimensional PDEs,such as the KdV equation,
the Boussinesq equations, the Benjamin-Bona-Mahoney equation, the Kaup-Boussinesq equations, the Camassa-Holm equation, and the two-component Camassa-Holm equations
are derived from the Su-Gardner equations.
歡迎各位老師和同學參加！