RENORMALIZATION OF THE CHAPMAN-ENSKOG EXPANSION - ISOTHERMAL FLUID-FLOW AND ROSENAU SATURATION

This paper continues the author's study of procedures for rewriting th e well-known Chapman-Enskog expansion used in the kinetic theory of ga ses. The usual Chapman-Enskog expansion, when used in isothermal fluid motion, will introduce nonlinear instability at super-Burnett order O (epsilon(3)) truncation. The procedure given here eliminates the trunc ation instability and produces the desired dissipation inequality.