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The grad limit for a system of soft spheres
Author(s) -
Cercignani Carlo
Publication year - 1983
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/cpa.3160360406
Subject(s) - mathematics , spheres , limit (mathematics) , hard spheres , statistical physics , boltzmann equation , class (philosophy) , boltzmann constant , mathematical analysis , physics , computer science , quantum mechanics , astronomy , artificial intelligence , thermodynamics
A model describing the dynamics of a system of soft spheres is introduced. The model contains a random mechanism which mollifies the deterministic model of hard sphere molecules. It allows a rigorous deduction of the corresponding Boltzmann equation for a wide class of initial data and arbitrarily long times.
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