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Preliminary results on the non-existence of solutions for a half space boltzmann collision model with three degrees of freedom

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Kinetic Theories and the Boltzmann Equation

Part of the book series: Lecture Notes in Mathematics ((LNMCIME,volume 1048))

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Abstract

A two component model of the linearized Boltzmann equation in a half-space incorporating three degrees of freedom is studied. The linearized collision term is taken to be a summation over a suitable combination of the collision invariants. Preliminary results concerning exponents of compensating factors involved in the Wiener-Hopf factorization of the dispersion matrix are presented. Comparison is made to the case of the linearized Boltzmann equation in a half-space incorporating only one degree of freedom.

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Authors and Affiliations

  1. Abteilung für Mathematische Physik, Universität Ulm, Germany

    M. D. Arthur

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  1. M. D. Arthur
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Carlo Cercignani

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© 1984 Springer-Verlag

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Arthur, M.D. (1984). Preliminary results on the non-existence of solutions for a half space boltzmann collision model with three degrees of freedom. In: Cercignani, C. (eds) Kinetic Theories and the Boltzmann Equation. Lecture Notes in Mathematics, vol 1048. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0071880

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  • DOI: https://doi.org/10.1007/BFb0071880

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12899-1

  • Online ISBN: 978-3-540-38777-0

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