Time
Monday, 16:00-17:00
Feb. 24, 2025
Venue
Lecture Hall C548
Shuangqing Complex Building A
Online
Zoom Meeting ID: 271 534 5558
Passcode: YMSC
Speaker
Lei Wu 吴磊
Lehigh University
Professor Lei Wu is currently an Associate Professor at Lehigh University. His research primarily focuses on Partial differential equations, dynamical systems, mathematical physics, and numerical analysis.
About the lecture
Diffusive Limit in Non-Convex Domains
Abstract
In this talk, I will discuss the diffusive limit of Boltzmann equation in non-convex domains. We will show the $L^2$ convergence of Boltzmann equation to the incompressible Navier-Stokes-Fourier system in bounded domains with in-flow boundary condition. Our proof relies on a cutoff boundary layer analysis and a new remainder estimates with crucial cancellation argument. This strategy has also been successfully extended to treat neutron transport equation and the hydrodynamic limits problems with local Maxwellian.
