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The Analytical Solutions of 2D Stationary Broadwell Kinetic Model

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Abstract

The present communication is devoted to the calculation of some explicit stationary solutions of the four-velocity Broadwell kinetic model in two spatial dimensions. The method of the truncated Painlevé expansion is employed and two classes of solutions are constructed. It is shown that these solutions satisfy the special boundary value problem in a rectangle.

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  1. Dorodnicyn Computing Centre of Russian Academy of Sciences, Vavilov st. 40, 119333, Moscow, Russia

    Oleg Ilyin

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  1. Oleg Ilyin
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Ilyin, O. The Analytical Solutions of 2D Stationary Broadwell Kinetic Model. J Stat Phys 146, 67–72 (2012). https://doi.org/10.1007/s10955-011-0393-6

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  • DOI: https://doi.org/10.1007/s10955-011-0393-6

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