Diffusive Limit in Non-Convex Domains

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.