The Navier-Stokes limit of the stationary boltzmann equation for hard potentials |
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Authors: | M. Di Meo R. Esposito |
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Affiliation: | (1) Dipartimento di Matematica Università di Roma Tor Vergata, Rome, RM, Italy;(2) Dipartimento di Matematica Pura ed Applicata, Università di L'Aquila, Coppito, AQ, Italy |
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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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Keywords: | Hydrodynamic limit stationary Navier-Stokes equations kinetic theory |
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