Recording: https://disk.pku.edu.cn/link/AAB3B3DC4E6CE34975BE5B67926113E84F
Abstract: In this talk, I will present our recent studies on the hydrodynamic limits of the Boltzmann equation, focusing on the rigorous derivation of Couette flow from the Boltzmann equation to the incompressible Navier-Stokes system. Central to our approach are novel anisotropic estimates within the Wiener algebra function space, which enable a precise treatment of the kinetic-to-fluid transition. Additionally, I will discuss extensions to more general shear flows, including the Kolmogorov flow.
Bio: Shuangqian Liu is currently a professor of School of Mathematics and Statistics at the Central China Normal University. He received his PhD from Wuhan University in 2009, he was a postdoctor in the department of Mathematics at CUHK from 2013 to 2014. His research interest is analysis of PDEs with focus on the Boltzmann equation in kinetic theory as well as related fluid dynamic equations. He was supported by outstanding youth grand from NSFC in 2023.
