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Similarity analysis and exact solutions for a general discrete two- velocity model of Boltzmann equation - MaRDI portal

Similarity analysis and exact solutions for a general discrete two- velocity model of Boltzmann equation (Q1090556)

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scientific article; zbMATH DE number 4007996
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Similarity analysis and exact solutions for a general discrete two- velocity model of Boltzmann equation
scientific article; zbMATH DE number 4007996

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    Similarity analysis and exact solutions for a general discrete two- velocity model of Boltzmann equation (English)
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    1987
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    This paper concerns with the similarity analysis for a general discrete two-velocity model of the Boltzmann equation introduced by \textit{R. Illner} [Math. Methods Appl. Sci. 1, 187-193 (1979; Zbl 0439.76066)]. We find the general groups of invariance and we get some exact solutions, recovering general results which contain either solutions extensively described in the literature or undiscovered ones.
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    quadratic collision term
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    McKean models
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    Lie groups
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    similarity analysis
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    discrete two-velocity model
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    Boltzmann equation
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    groups of invariance
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    exact solutions
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