Renormalization of the Chapman-Enskog Expansion: Isothermal Fluid Flow and Rosenau Saturation

作者: M. Slemrod

DOI: 10.1023/A:1023048322851

关键词: Fluid dynamicsBoltzmann equationMathematicsMathematical physicsSaturation (chemistry)Fluid motionInstabilityIsothermal processChapman–Enskog theoryRenormalizationMechanics

摘要: This paper continues the author's study of procedures for rewriting well-known Chapman–Enskog expansion used in kinetic theory gases. The usual expansion, when isothermal fluid motion, will introduce nonlinear instability at super-Burnett order O(e3) truncation. procedure given here eliminates truncation and produces desired dissipation inequality.

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