UniversitRenormalization group and Chapman-Enskog methods in singularly perturbed dynamical systems on [0,∞

Recently there have appeared several papers discussing applications of the so-called renormalization group method in singularly perturbed systems of equations. In this talk, I shall show that somewhat forgotten Chapman-Enskog asymptotic method leads to the same results in a much shorter way and prove that, under natural assumptions, it provides an asymptotic expansion valid uniformly on [0,∞).