The Navier-Stokes limit of the stationary Boltzmann equation for hard potentials
Journal Article
·
· Journal of Statistical Physics
- Universita di Roma Tor Vergata, Rome (Italy)
- Universita di L`Aquila, Coppito (Italy)
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.
- Sponsoring Organization:
- USDOE
- OSTI ID:
- 471875
- Journal Information:
- Journal of Statistical Physics, Journal Name: Journal of Statistical Physics Journal Issue: 3-4 Vol. 84; ISSN JSTPBS; ISSN 0022-4715
- Country of Publication:
- United States
- Language:
- English
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