Young Researchers Workshop: Kinetic theory with applications in physical sciences

Geometric correction for diffusive expansion of neutron transport equation

Lei Wu

Carnegie Mellon University


In this talk, we will discuss some recent progress in diffusive limit of steady neutron transport equation. A classical theory of expansion states that the solution can be approximated in L^{infty} by the leading order interior solution plus the Knudsen layer. We construct a counterexample to this result via a different boundary layer expansion with geometric correction.