Abstract
Granular flows are examined with the focus on their hydrodynamic description in the low density limit. Starting from the Boltzmann equation for a system of inelastic hard spheres, Navier-Stokes like equations have been derived, with explicit expressions for the transport coefficients appearing in them. These expressions are compared with numerical solutions of the own kinetic equation obtained by means of the direct Monte Carlo simulation method, and a good agreement is found. The existence of a driven steady state with uniform pressure and linear temperature profile is shown, both at a hydrodynamic level and as a solution of the Boltzmann equation. Moreover, this state is consistent with observations in molecular dynamics as well as in experiments.
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