Some remarks about the scaling of systems of reactive Boltzmann equations | Zendy

Marzia Bisi | Zendy; Laurent Desvillettes | Zendy

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Some remarks about the scaling of systems of reactive Boltzmann equations

Author(s) -

Marzia Bisi,

Laurent Desvillettes

Publication year - 2008

Publication title -

kinetic and related models

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.987

H-Index - 28

eISSN - 1937-5093

pISSN - 1937-5077

DOI - 10.3934/krm.2008.1.515

Subject(s) - boltzmann equation , scaling , boltzmann constant , statistical physics , diffusion , plasma modeling , mathematics , physics , mathematical physics , mathematical analysis , differential equation , thermodynamics , geometry

An asymptotics leading from the reactive Boltzmann equation towards reaction-diffusion equations has been introduced in (1) (cf. also (10), for an analogous scaling starting from reactive BGK equations). We propose here a justification of this asymptotics, at the formal level, based on a non- dimensional form of the original equations.

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