Abstract
We show that every steady discrete velocity model of the Boltzmann equation on the real line,ξi·(d/dx)fi=Ci(f), which satisfies anH-theorem and for which allξi≠0, has solutions on the half-line (0, ∞) which take prescribed non-negativefi(O) ifξi>0 and approach a certain manifold of Maxwellians asx→∞. Such solutions give the density distribution in a Knudsen boundary layer in the discrete velocity case.
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