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Hydrodynamics for inelastic Maxwell model

Hisao Hayakawa
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Abstract

Hydrodynamic equations for an inelastic Maxwell model are derived from the inelastic Boltzmann equation based on a systematic Chapman-Enskog perturbative scheme. Transport coefficients appear in Navier-Stokes order have been determined as a function of the restitution coefficient $e$, which cannot be defined for small $e$ as a result of the high energy tail of the velocity distribution function obeying a power law. The dispersion relations for the linearized equation around a homogeneous cooling state have been obtained.

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Hisao Hayakawa. 2002-10-03. Hydrodynamics for inelastic Maxwell model. https://arxiv.org/abs/cond-mat/0209630

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