报告地点:行健楼学术活动室526
邀请人:郭飞教授
摘要:When the vorticity is monotone with depth, we present a variational formulation for steady periodic water waves of the equatorial flow in the $f$-plane approximation, and show that the governing equations for this motion can be obtained by studying variations of a suitable energy functional $\mathcal{H}$ in terms of the stream function and the theromcline. We derive criteria which ensure that the second variation of the constrained energy functional is a nonnegative form, proving thus linear stability of steady equatorial water waves with vorticity.
简介:储继峰,上海师范大学数学系教授,博士生导师。从事常微分方程和动力系统的研究工作,主持国家自然科学基金等多项省部级科研项目。先后荣获教育部霍英东高校青年教师奖,山东省自然科学二等奖等,入选教育部新世纪优秀人才支持计划,德国洪堡学者。