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Transition threshold for the 3-D Couette flow

编辑:xyx 时间:2018年05月16日 访问次数:245

报告人: 章志飞 教授  北京大学数学科学学院    

报告时间: 2018年5月19日 上午 10:10-11:10 
报告地点: 工商管理楼200-9
报告题目:Transition threshold for the 3-D Couette flow


报告摘要:

Beginning with Reynolds's famous paper in 1883, the stability
and transition to turbulence of the laminar flows at high Reynolds
number has been an important and active field in the fluid mechanics.
 For some simple flows such as Couette flow which are linearly
stable for any Reynolds number, however, it could be unstable and
transition to turbulence for small perturbations at high Reynolds
number. One explanation suggested by Kelvin is that the flow may be
stable, but the stability threshold is decreasing as Reynolds number
tends to the infinity.  Many works in Physics and applied mathematics
are devoted to finding the transition threshold. We (joint with Dongyi Wei)
proved the transition threshold conjecture in physical literature
for the 3-D Couette flow.


联系人:王梦(mathdreamcn@zju.edu.cn)