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On Boltzmann's equation in the kinetic theory of gases

Published online by Cambridge University Press:  24 October 2008

E. Wild
E. Wild
Affiliation:
The UniversityManchester 13
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Extract

1. Boltzmann's differentio-integral equation for the molecular velocity distribution function in a perfect gas forms the natural starting-point for a mathematical treatment of the kinetic theory of gases. The classical results of Maxwell and Boltzmann in this theory are well known. They include the proof that, for simple gases, i.e. those in which the molecules have only the three translational degrees of freedom, the only stationary and spatially homogeneous solution is the one which corresponds to the Maxwellian distribution.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 47 , Issue 3 , July 1951 , pp. 602 - 609
Copyright
Copyright © Cambridge Philosophical Society 1951

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References

REFERENCES

(1)Chapman, S. and Cowling, T. G.The mathematical theory of non-uniform gases (Cambridge, 1939).Google Scholar
(2)Carleman, T.Acta Math. 60 (1933), 91.CrossRefGoogle Scholar