On a kinetic BGK model for slow chemical reactions

Marzia Bisi; Giampiero Spiga

doi:10.3934/krm.2011.4.153

Article Contents

2011, Volume 4, Issue 1: 153-167. Doi: 10.3934/krm.2011.4.153

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On a kinetic BGK model for slow chemical reactions

Marzia Bisi^1, and
Giampiero Spiga^1,

1.
Dipartimento di Matematica, Università di Parma, V.le G.P. Usberti 53/A, 43124 Parma

Received: July 2010

Revised: October 2010

Published: March 2011

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Abstract

A recently proposed consistent BGK-type approach for chemically reacting gas mixtures is discussed, which accounts for the correct rates of transfer for mass, momentum and energy, and recovers the exact conservation equations and collision equilibria, including mass action law. In particular, the hydrodynamic limit is derived by a Chapman-Enskog procedure, and compared to existing results for the reactive and non-reactive cases.

Keywords:

Kinetic theory; Chemical reaction; BGK model.

Mathematics Subject Classification: 82C40, 76P05.

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