 9377 Esposito R., Lebowitz J.L., Marra R.
 Hydrodynamic Limit of the Stationary
Boltzmann Equation in a Slab
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Apr 1, 93

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Abstract. We study the stationary solution of the
Boltzmann equation in a slab with a constant
external force parallel to the boundary and complete
accommodation condition on the walls at a specified
temperature. We prove that when
the force is sufficiently small there exists a solution which
converges, in the hydrodynamic limit, to a local
Maxwellian with parameters given by the stationary solution of the
corresponding compressible NavierStokes equations with noslip
boundary conditions. Corrections to this Maxwellian are obtained
in powers of the Knudsen number with a controlled remainder.
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