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A Group Theoretic Approach to the Equations of Plasma Physics

Published online by Cambridge University Press:  20 November 2018

Jerrold E. Marsden
Jerrold E. Marsden*
Affiliation:
Department of Mathematics University of California, Berkeley, California94720
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Abstract

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This paper concerns the interaction between group theory and classical mechanics in general and with the application of this theory to plasma physics in particular.

Mechanics has had a profound role in the historical development of mathematics. Leading original thinkers in pure mathematics such as Newton, Euler, Lagrange, Jacobi, Laplace, Cauchy, Gauss, Riemann, Poincaré, Hilbert, Birkhofï, Smale and Arnold were also great original thinkers in various facets of mechanics. The interaction between mechanics and pure mathematics remains one of the most active and flourishing areas of current research. It is this flavor which I hope to convey in this lecture.

Keywords

58D58E58F70H70W
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 25 , Issue 2 , 01 June 1982 , pp. 129 - 142
Copyright
Copyright © Canadian Mathematical Society 1982

References

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