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An approximate two-flow solution to the Boltzmann equation

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Abstract

An explicit approximate solution to the three-dimensional nonlinear Boltzmann equation for rigid spheres is constructed. It has the form of a spatially inhomogeneous linear combination of two Maxwellians corresponding to different densities, temperatures, and mass velocities. It is shown that the integral norm of the discrepancy between the left- and right-hand sides of the equation can be made arbitrarily small by choosing appropriate values of the parameters entering the distribution.

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Authors and Affiliations

  1. Khar'kov State University, Khar'kov, Ukraine

    V. G. Gordevskii

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  1. V. G. Gordevskii
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 114, No. 1, pp. 126–136, January, 1998.

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Gordevskii, V.G. An approximate two-flow solution to the Boltzmann equation. Theor Math Phys 114, 99–108 (1998). https://doi.org/10.1007/BF02557112

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  • DOI: https://doi.org/10.1007/BF02557112

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