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Vlasov moments, integrable systems and singular solutions

Gibbons, J, Holm, DD and Tronci, C (2007) Vlasov moments, integrable systems and singular solutions Physics Letters A, 372 (7). pp. 1024-1033.

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The Vlasov equation for the collisionless evolution of the single-particle probability distribution function (PDF) is a well-known Lie-Poisson Hamiltonian system. Remarkably, the operation of taking the moments of the Vlasov PDF preserves the Lie-Poisson structure. The individual particle motions correspond to singular solutions of the Vlasov equation. The paper focuses on singular solutions of the problem of geodesic motion of the Vlasov moments. These singular solutions recover geodesic motion of the individual particles.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
Gibbons, J
Holm, DD
Date : 24 May 2007
DOI : 10.1016/j.physleta.2007.08.054
Related URLs :
Depositing User : Symplectic Elements
Date Deposited : 17 May 2017 12:21
Last Modified : 10 Jun 2019 13:08

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