Abstract
The nonlinear Boltzmann equation for a rarefied gas is investigated in the fluid dynamical limit to the level of compressible Euler equation locally in time, as the mean free path ε tends to zero. The nonlinear hyperbolic conservation laws obtained as the limit are also the first approximation of the Chapman-Enskog expansion.
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Communicated by J. Glimm
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Nishida, T. Fluid dynamical limit of the nonlinear Boltzmann equation to the level of the compressible Euler equation. Commun.Math. Phys. 61, 119–148 (1978). https://doi.org/10.1007/BF01609490
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DOI: https://doi.org/10.1007/BF01609490