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The Boltzmann-Landau transport equation

I. The first-order Chapman-Enskog approximation

Published online by Cambridge University Press:  24 October 2008

Arun K. Mitra  and
Sunanda Mitra
Arun K. Mitra
Affiliation:
Department of Mathematics, Texas Technological College, Lubbock, Texas
Sunanda Mitra
Affiliation:
Department of Mathematics, Texas Technological College, Lubbock, Texas
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Abstract

The first-order Chapman-Enskog (CE) approximation has been used to linearize the Boltzmann-Landau (BL) equation primarily in the binary collision approximation and a linear integral equation with a non-symmetric kernel is obtained. The solubility conditions are discussed on the basis of conservation theorems. The formal solutions and the transport coefficients have been obtained in a subsequent paper.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 65 , Issue 1 , January 1969 , pp. 177 - 187
Copyright
Copyright © Cambridge Philosophical Society 1969

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References

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