Knudsen layer: coupling fluids with kinetics

Applied and Computational Mathematics Seminar
Monday, October 3, 2016 - 2:00pm for 1 hour (actually 50 minutes)
Skiles 005
Prof. Qin Li – UW-Madison – qinli@math.wisc.edu
Molei Tao
Many kinetic equations have the corresponding fluid limits. In the zero limit of the Knudsen number, one derives the Euler equation out of the Boltzmann equation and the heat equation out of the radiative transfer equation. While there are good numerical solvers for both kinetic and fluid equations, it is not quite well-understood when the two regimes co-exist. In this talk, we model the layer between the fluid and the kinetic using a half-space equation, study the well-posedness, design a numerical solver, and utilize it to couple the two sets of equations that govern separate domains. It is a joint work with Jianfeng Lu and Weiran Sun.