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December  2008, 1(4): 515-520. doi: 10.3934/krm.2008.1.515

Some remarks about the scaling of systems of reactive Boltzmann equations

1. 

Dipartimento di Matematica, Università di Parma, Viale G.P. Usberti 53/A, I-43100 Parma, Italy

2. 

ENS Cachan, CMLA, IUF & CNRS, PRES UniverSud, 61, Av. du Pdt Wilson, 94235 Cachan Cedex

Received  August 2008 Revised  September 2008 Published  October 2008

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.
Citation: Marzia Bisi, Laurent Desvillettes. Some remarks about the scaling of systems of reactive Boltzmann equations. Kinetic & Related Models, 2008, 1 (4) : 515-520. doi: 10.3934/krm.2008.1.515
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