Abstract
In this paper we extend recent results on the hydrodynamic Navier-Stokes limit of the stationary Boltzmann equation for the flow of a gas of hard spheres in a channel in the presence of an external force to the case of a hard intermolecular potential with Grad angular cutoff. We prove the convergence of the solution, for small Knudsen numbers, to the Maxwellian with parameters solving the corresponding Navier-Stokes equation. In the present case we only get polynomial decay of the solution for large velocities, instead of the exponential decay which holds for hard spheres.
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References
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Communicated by J. L. Lebowitz
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Di Meo, M., Esposito, R. The Navier-Stokes limit of the stationary boltzmann equation for hard potentials. J Stat Phys 84, 859–873 (1996). https://doi.org/10.1007/BF02179660
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DOI: https://doi.org/10.1007/BF02179660