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Zu Chongzhi Distinguished Lecture ——Math-Physics Series

August 13, 2020 9:00 – 10:30 am, US Eastern time; 9:00 – 10:30 pm, China time

 

Enhanced dissipation estimates for the Kolmogorov flow

Zhifei Zhang, Peking University

Abstract: We consider the linearized Navier-Stokes equations around the Kolmogorov flow. Due to the vorticity mixing induced by the Kolmogorov flow, the decay rate of the solution is much faster than the diffusion decay rate. This is so called enhanced dissipation. In this talk, I will introduce three methods(wave operator method, resolvent estimate method and hypocoercivity method)  to establish the sharp enhanced dissipation estimate for the Kolmogorov flow.

 

Slides for the talk (click)

Recorded video for the talk (click)

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