Abstract
This paper continues the author's study of procedures for rewriting the well-known Chapman–Enskog expansion used in the kinetic theory of gases. The usual Chapman–Enskog expansion, when used in isothermal fluid motion, will introduce nonlinear instability at super-Burnett order O(ε3) truncation. The procedure given here eliminates the truncation instability and produces the desired dissipation inequality.
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Slemrod, M. Renormalization of the Chapman–Enskog Expansion: Isothermal Fluid Flow and Rosenau Saturation. Journal of Statistical Physics 91, 285–305 (1998). https://doi.org/10.1023/A:1023048322851
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DOI: https://doi.org/10.1023/A:1023048322851