The Navier-Stokes limit of the stationary Boltzmann equation for hard potentials

Journal Article · Thu Aug 01 00:00:00 EDT 1996 · Journal of Statistical Physics

DOI:https://doi.org/10.1007/BF02179660· OSTI ID:471875

Di Meo, M ^[1]; Esposito, R ^[2]

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1. Universita di Roma Tor Vergata, Rome (Italy)
2. 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, Vol. 84, Issue 3-4; Other Information: PBD: Aug 1996
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
99 MATHEMATICS
COMPUTERS
INFORMATION SCIENCE
MANAGEMENT
LAW
MISCELLANEOUS
BOLTZMANN EQUATION
HARD-CORE POTENTIAL
HARD-SPHERE MODEL
GAS FLOW
NAVIER-STOKES EQUATIONS
HYDRODYNAMICS