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Are there more than five linearly-independent collision invariants for the Boltzmann equation?

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Abstract

The problem of finding the summational collision invariants for the Boltzmann equation is tackled with the aim of proving that the most general solution of the problem is not different from the standard one even when the equation defining a collision invariantψ is only satisfied almost everywhere inR 3×R 3×S 2. The collision invariantψ is assumed to be in the Hilbert spaceH ω of the functions which are square integrable with respect to a Maxwellian weight.

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Authors and Affiliations

  1. Dipartimento di Matematica, Politecnico di Milano, 20133, Milan, Italy

    Carlo Cercignani

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  1. Carlo Cercignani
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Cercignani, C. Are there more than five linearly-independent collision invariants for the Boltzmann equation?. J Stat Phys 58, 817–823 (1990). https://doi.org/10.1007/BF01026552

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  • DOI: https://doi.org/10.1007/BF01026552

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