数学系Seminar第1325期 关于带科里奥利效应的浅水波模型的渐近分析

创建时间:  2016/06/24  龚惠英   浏览次数:   返回

报告主题:关于带科里奥利效应的浅水波模型的渐近分析
报告人:   刘跃 教授(美国 University of Texas at Arlington )
报告时间:2016年6月24日(周五)8:30
报告地点:校本部G508
邀请人:张成老师
主办部门:理学院数学系
报告摘要: In this talk,   I start by formally deriving the simplified phenomenological models  of long-crested shallow-water waves propagating in the equatorial ocean regions with the Coriolis effect due to the Earth's rotation. These new model equations are analogous to  the Green-Naghdi equations, the first-order approximations of  the KdV-, BBM- or improved-Boussinesq-type, respectively. I then justify rigorously that in the long-wave limit, unidirectional solutions of a class of KdV- or BBM-type  are well approximated by the solutions of the  Camassa-Holm  equation with the Coriolis effect.

欢迎教师、学生参加 !

上一条:数学系Seminar第1326期 一些来自于水波的拟线性方程的爆破解

下一条:理学院“当代科学前沿讲坛”第228讲 The Breaking and Mending of Porphyrins: Synthesis of Porphyrinoids Incorporating Non-Pyrrolic Heterocycles


数学系Seminar第1325期 关于带科里奥利效应的浅水波模型的渐近分析

创建时间:  2016/06/24  龚惠英   浏览次数:   返回

报告主题:关于带科里奥利效应的浅水波模型的渐近分析
报告人:   刘跃 教授(美国 University of Texas at Arlington )
报告时间:2016年6月24日(周五)8:30
报告地点:校本部G508
邀请人:张成老师
主办部门:理学院数学系
报告摘要: In this talk,   I start by formally deriving the simplified phenomenological models  of long-crested shallow-water waves propagating in the equatorial ocean regions with the Coriolis effect due to the Earth's rotation. These new model equations are analogous to  the Green-Naghdi equations, the first-order approximations of  the KdV-, BBM- or improved-Boussinesq-type, respectively. I then justify rigorously that in the long-wave limit, unidirectional solutions of a class of KdV- or BBM-type  are well approximated by the solutions of the  Camassa-Holm  equation with the Coriolis effect.

欢迎教师、学生参加 !

上一条:数学系Seminar第1326期 一些来自于水波的拟线性方程的爆破解

下一条:理学院“当代科学前沿讲坛”第228讲 The Breaking and Mending of Porphyrins: Synthesis of Porphyrinoids Incorporating Non-Pyrrolic Heterocycles