Marsden, Jerrold E. and Morrison , Philip J. and Weinstein, Alan J.
(1984)
*The Hamiltonian structure of the BBGKY hierarchy equations.*
In:
Fluids and plasmas : geometry and dynamics.
Contemporary mathematics.
No.28.
American Mathematical Society
, Providence, R.I., pp. 115-124.
ISBN 0821850288.
https://resolver.caltech.edu/CaltechAUTHORS:20100902-100636174

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## Abstract

The BBGKY hierarchy equations for the evolution of the i-point functions of a plasma with electrostatic interactions are shown to be Hamiltonian. The Poisson brackets are Lie-Poisson brackets on the dual of a Lie algebra. This algrebra is constructed from the algebra of n-point functions under Poisson bracket and the filtration obtained by considering subspaces of i-point functions, 1 ≤ i ≤ n.

Item Type: | Book Section | ||||||
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Additional Information: | © 1984 American Mathematical Society. Research partially supported by DOE Contract DE-AT03-82ER-12097. Research partially supported by DOE Contract DE-FG05-80ET-53088. | ||||||

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Series Name: | Contemporary mathematics | ||||||

Issue or Number: | 28 | ||||||

Record Number: | CaltechAUTHORS:20100902-100636174 | ||||||

Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20100902-100636174 | ||||||

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ID Code: | 19767 | ||||||

Collection: | CaltechAUTHORS | ||||||

Deposited By: | Ruth Sustaita | ||||||

Deposited On: | 04 Sep 2010 03:11 | ||||||

Last Modified: | 03 Oct 2019 02:01 |

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