APPROXIMATION BY HOMOGENIZATION AND DIFFUSION OF KINETIC EQUATIONS
Thierry Goudon, Frédéric Poupaud · Communications in Partial Differential Equations · 2001
This work is devoted to the approximation by the diffusion of kinetic equations. The approximation is justified by homogenization and in the limit of vanishing mean free path. Our analysis includes the grey transfer model but also discrete velocity model. The technics of proofs are based on compensated compactness and double scale limit.