Existence of global solutions to the Cauchy problem for the inelastic Boltzmann equation with near-vacuum data
Ricardo Alonso
76P0576T25kinetic equationsinelastic Boltzmann equationgranular materialsviscoelastic spheres
The Cauchy problem for the inelastic Boltzmann equation is studied for small data. Existence and uniqueness of mild and weak solutions are 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.
Indiana University Mathematics Journal
2009
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10.1512/iumj.2009.58.3506
10.1512/iumj.2009.58.3506
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Indiana Univ. Math. J. 58 (2009) 999 - 1022
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