Seminars & Colloquia Calendar
Linear stability of pipe Poiseuille flow at high Reynolds number regime
Zhifei Zhang, Peking University
Location: Link: https://rutgers.zoom.us/meeting/register/tJ0vf-iqrD4qGtwChUSfeoQJj2JAiqpBekav Meeting ID: 992 8122 5008
Date & time: Wednesday, 28 October 2020 at 9:30AM - 10:30AM
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.