Abstract
This paper proves the global boundedness in time of higher moments to a weak solution of the non-linear space-homogeneous Boltzmann equation for inverse kth-power forces with k ≧ 5. In the course of the proof a new collisional estimate of \(v^{'s} + v_*^{'s} - v^s - v_*^s \) is obtained, where v, v* are the velocities before and v′, v′* are the velocities after a binary collision.
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Elmroth, T. Global boundedness of moments of solutions of the Boltzmann equation for forces of infinite range. Arch. Rational Mech. Anal. 82, 1–12 (1983). https://doi.org/10.1007/BF00251722
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DOI: https://doi.org/10.1007/BF00251722