Abstract
We construct two families of self-similar solutions of the Boltzmann equation in an explicit form. They turn out to be eternal and positive. They do not possess finite energy. Asymptotic properties of the solutions are also studied.
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Bobylev, A.V., Cercignani, C. Exact Eternal Solutions of the Boltzmann Equation. Journal of Statistical Physics 106, 1019–1038 (2002). https://doi.org/10.1023/A:1014085719973
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DOI: https://doi.org/10.1023/A:1014085719973