【学术报告】Linear stability of pipe Poiseuille flow at high Reynolds number regime

• 主讲人：Zhifei Zhang, School of Mathematical Sciences, Peking University
• 时间：周五16:00-17:00，2021-01-15
• 地点：online

Beijing-Moscow Mathematics Colloquium (online) 

摘要（Abstract） 

The linear stability of pipe Poiseuille flow is a long standing problem since Reynolds experiment in 1883. Joint with Qi Chen and Dongyi Wei, we solve this problem at high Reynolds regime. We first introduce a new formulation for the linearized 3-D Navier-Stokes equations around this flow. Then we establish the resolvent estimates of this new system under favorable artificial boundary conditions. Finally, we solve the original system by constructing a boundary layer corrector.

主讲人简介（Bio）

Zhifei Zhang received his PhD from Zhejiang university in 2003. Then he spent 2 years in Mathematics Institute of AMSS as a Postdoc. He joined Peking university in 2005. His research interest is in the mathematical problems in the fluid mechanics such as the well-posedness of the Navier-Stokes equations, free boundary problem, hydrodynamic stability.