On the Kinetic Theory of Rarefied Gases

Communications on Pure and Applied MathematicsVolume 2, Issue 4 p. 331-407 Article On the kinetic theory of rarefied gases Harold Grad, Harold GradSearch for more papers by this author Harold Grad, Harold GradSearch for more papers by this author First published: December 1949 https://doi.org/10.1002/cpa.3160020403Citations: 1,930AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onEmailFacebookTwitterLinkedInRedditWechat Bibliography 1 Birkhoff, G. D., Proof of the Ergodic Theorem. Proceedings of the National Academy of Sciences, Volume 17, p. 650, 1931. For a simpler proof: Hartmann, P., On the Ergodic Theorems. American Journal of Mathematics, Volume 69, p. 193, 1947. 2 Born, M., and H. S. Green, A General Kinetic Theory of Liquids, I-The Molecular Distribution Functions. Proceedings of the Royal Society of London, Series A, Volume 188, pp. 10–18, 1946. 3 Carleman, T., Sur la Théorie de l'Équation Intégrodifférentielle de Boltzmann. Acta Mathematica, Volume 60, p. 91, 1933. 4 Chapman, S., and T. G. Cowling, The Mathematical Theory of Non-uniform Gases. Cambridge University Press, 1939. 5 Grad, H., Note on N-Dimensional Hermite Polynomials. This issue, p. 325. 6 Grad, H., Kinetic Theory and Statistical Mechanics. Mimeographed notes, New York University, 1949. 7 Jeans, J. H., The Dynamical Theory of Gases. Cambridge University Press, 1925. Also: An Introduction to the Kinetic Theory of Gases. Cambridge University Press, 1948. 8 Kennard, E. H., Kinetic Theory of Gases, McGraw-Hill, New York, 1938. 9 Khinchin, A. I., Mathematical Foundations of Statistical Mechanics. Dover, New York, 1949. 10 Kirkwood, J. G., The Statistical Mechanical Theory of Transport Phenomena, 11-Transport in Gases. Journal of Chemical Physics, Volume 15, p. 72, 1947. 11 Maxwell, J. C., The Scientific Papers of James Clerk Maxwell, Cambridge University Press, 1890: (a) On the Dynamical Theory of Gases, Volume 11, p. 26. (b) On Stresses in Rarefied Gases Arising from Inequalities of Temperature, Volume 11, p. 681. Citing Literature Volume2, Issue4December 1949Pages 331-407 ReferencesRelatedInformation