Qin Li, University of Wisconsin, Madison

PDL C36
Many kinetic equations have the corresponding fluid limit. 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 wellunderstood when the two regimes coexist. In this talk, we model the layer between the fluid and the kinetic using a halfspace equation, study the wellposedness, design a numerical solver, and utilize it to couple the two sets of equations that govern separate domains.