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Exact Eternal Solutions of the Boltzmann Equation
Authors:A. V. Bobylev  C. Cercignani
Affiliation:(1) Division of Engineering Sciences, Physics and Mathematics, Karlstad University, Karlstad, Sweden;(2) Dipartimento di Matematica, Politecnico di Milano, Milano, Italy
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.
Keywords:eternal solutions  Boltzmann equation
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