Existence of global solutions to the Cauchy problem for the inelastic Boltzmann equation with near-vacuum data

Details Existence of global solutions to the Cauchy problem for the inelastic Boltzmann equation with near-vacuum data Existence of global solutions to the Cauchy problem for the inelastic Boltzmann equation with near-vacuum data

2008-04-10

arxiv.org/abs/0804.1606v1

Physics

Mathematical Physics

21 pages

Scientific paper

The Cauchy problem for the inelastic Boltzmann equation is studied for small
data. Existence and uniqueness of mild and weak solutions is obtained for
sufficiently small data that lies in the space of functions bounded by
Maxwellians. The technique used to derive the result is the well known
iteration process of Kaniel and Shinbrot.

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