题 目：Bifurcation and transition of three-dimensional wind-driven ocean circulation problem

主讲人：闫东明博士

时 间：2021年12月2日（周四）13：40-14：40

地 点：6号学院楼402会议室

主办单位：银河7163官网 浙江省2011“数据科学与大数据分析协同创新中心”

摘要：

This talk is about the three-dimensional wind-driven ocean circulation problem. Firstly, I will talk about the linear stability of the basic flow governed by the three-dimensional (3D) quasi-geostrophic (QG) equation with a steady wind force. Secondly, I will talk about the dynamic transition associated with the instability of the basic flow at the critical Reynolds number. It is proved that the type of the phase transition is determined by a parameter called transition number which is mainly determined by the Reynolds number and the aspect ratio. More precisely, the negative (positive) sign of the real part of the transition number corresponds to the continuous (catastrophic) transition. Finally, I will talk about the numerical experiments of the specific transition type for specified control parameters. It is shown that the real part of the transition number is always negative, leading to only the continuous transition.

主讲人简介：

闫东明，四川大学应用数学博士。美国印第安纳大学布卢明顿分校访问学者。主要研究领域为偏微分方程理论及其应用。在相变动力学理论的应用、具有变号核的算子方程正解的存在性、带有集值问题正解分支的振荡性、非局部四阶边值问题的谱及其应用、以及变系数问题正解的存在性等方面取得了一些进展。主要成果发表在《Journal of Differential Equations 》、《Nonlinear Dynamics》、《Discrete Contin. Dyn. Syst. Ser. B》、《应用数学学报》、《系统科学与数学》等国内外学术期刊上。

欢迎各位老师和同学踊跃参加！