Effect of Molecular Collision Frequency on Solutions of the Linearized Boltzmann Equation

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Abstract
The linearized Boltzmann equation is considered for steady‐state oscillations. Denoting molecular collision frequency by ν(ξ) and writing ν = O(ξα) for ξ large, we show that solutions for x → ∞ behave like exp (−x2/(3−α)). This shows that the continuous spectra dominates hydrodynamics for all except the rigid sphere or radial cutoff case (α = 1).

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