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Asymptotic behaviour of the Boltzmann equation as a cosmological model

Mathematical Physics 2016-08-24 v1 math.MP

Abstract

As a Newtonian cosmological model the Vlasov-Poisson-Boltzmann system is considered, and a slightly modified Boltzmann equation, which describes the stability of an expanding universe, is derived. Asymptotic behaviour of solutions turns out to depend on the expansion of the universe, and in this paper we consider the soft potential case and will obtain asymptotic behaviour.

Keywords

Cite

@article{arxiv.1605.07406,
  title  = {Asymptotic behaviour of the Boltzmann equation as a cosmological model},
  author = {Ho Lee},
  journal= {arXiv preprint arXiv:1605.07406},
  year   = {2016}
}

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12 pages