Singular solutions for geodesic flows of Vlasov moments

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dc.creatorGibbons, John
dc.creatorHolm, Darryl D.
dc.creatorTronci, Cesare
dc.date2006-03-26
dc.date2006-03-28
dc.date.accessioned2026-07-07T07:07:29Z
dc.date.available2026-07-07T07:07:29Z
dc.descriptionThe 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.
dc.description20 pages, no figures
dc.identifierhttps://arxiv.org/abs/nlin/0603060
dc.identifierhttp://arxiv.org/abs/nlin/0603060
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/110408
dc.subjectChaotic Dynamics
dc.subjectPattern Formation and Solitons
dc.titleSingular solutions for geodesic flows of Vlasov moments
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