数学与统计学院学术报告[2020] 004号

(高水平大学建设系列报告357号)  

报告题目: Dynamic transitions in axisymmetric nonlinear systems and applications  

报告人：王泉研究员（四川大学）

报告时间：2020年 1 月 13 日下午 4:00-5:00  

报告地点：汇星楼（科技楼）501.　　　 

报告内容：
Dynamic transitions of dissipative systems can be classified into three categories:continuous type, 
catastrophic type, and mixed type. In fluid dynamics, it is essential to know the specific transition type 
involved in many unstable phenomena. In this talk, we aim to completely classify the dynamic transitions
arising in the axisymmetric systems modeled by the equations with a fourth-second order structure, thus 
covering a broad class of problems in geophysical fluid dynamics. A transition theorem is established by 
reducing the governing equations to a system of ODEs, derived by employing approximate invariant 
manifolds. We also provide an algorithm by which one can numerically determine the transition type for 
any problem whose governing equations are equipped with the required fourth--second order structure. 
Finally, we apply our results to examine the transition types associated with the baroclinic instability in a
quasi-geostrophic system in an annular channel.

报告人简历：

王泉，美国印第安纳大学博士后，四川大学特聘研究员，主要从事相变动力学、流体动力学稳定性与大气科学方向的研究工作，在SCI检索刊物Physics of Fluids、Journal of Differential Equations、Physica D、Journal of the Atmospheric Sciences等一流期刊上发表学术论文20余篇。

欢迎感兴趣的师生参加！

                                              数学与统计学院  

  2020 年1 月8 日