Abstract
The aim of this note is to investigate some mathematical structure of the Euler equation derived from the discrete Boltzmann equation as the first order approximation of the Chapman-Enskog expansion. The analysis developed in this article would be a basis for the study of nonlinear waves in discrete kinetic theory (cf. [2,7,3] for shock waves, [10] for rarefaction waves, and [6] for diffusion waves).
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