Abstract
We consider the nonlinear Boltzmann equation in the Bhathnagar-Gross-Krook model for the gas flow in a half-space (the Kramers problem). The problem can be exactly linearized, and its solution can be reduced to a linear integral equation with an addition-difference kernel and a simple nonlinear relation.
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 125, No. 2, pp. 339–342, November, 2000.
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Engibaryan, N.B., Khachatryan, A.K. Exact linearization of the sliding problem for a dilute gas in the Bhatnagar-Gross-Krook model. Theor Math Phys 125, 1589–1592 (2000). https://doi.org/10.1007/BF02551017
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DOI: https://doi.org/10.1007/BF02551017