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Singular solutions for geodesic flows of Vlasov moments

Gibbons, J, Holm, DD and Tronci, C (2006) Singular solutions for geodesic flows of Vlasov moments In: UNSPECIFIED UNSPECIFIED.

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The Vlasov equation for the collisionless evolution of the single-particle probability distribution function (PDF) is a well-known example of coadjoint motion. Remarkably, the property of coadjoint motion survives the process of taking moments. That is, the evolution of the moments of the Vlasov PDF is also coadjoint motion. We find that {\it geodesic} coadjoint motion of the Vlasov moments with respect to powers of the single-particle momentum admits singular (weak) solutions concentrated on embedded subspaces of physical space. The motion and interactions of these embedded subspaces are governed by canonical Hamiltonian equations for their geodesic evolution.

Item Type: Book Section
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
Gibbons, J
Holm, DD
Date : 26 March 2006
Uncontrolled Keywords : nlin.CD, nlin.CD, nlin.PS
Related URLs :
Depositing User : Symplectic Elements
Date Deposited : 17 May 2017 12:21
Last Modified : 10 Jun 2019 13:08

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