Geometric dissipation in kinetic equations

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dc.creatorHolm, Darryl D.
dc.creatorPutkaradze, Vakhtang
dc.creatorTronci, Cesare
dc.date2007-05-05
dc.date2007-08-21
dc.date.accessioned2026-07-07T08:24:12Z
dc.date.available2026-07-07T08:24:12Z
dc.descriptionA new symplectic variational approach is developed for modeling dissipation in kinetic equations. This approach yields a double bracket structure in phase space which generates kinetic equations representing coadjoint motion under canonical transformations. The Vlasov example admits measure-valued single-particle solutions. Such solutions are reversible; and the total entropy is a Casimir, and thus is preserved.
dc.description7 pages, no figures. C. R. Math. Acad. Sci. Paris (in press)
dc.identifierhttps://arxiv.org/abs/0705.0765
dc.identifierhttp://arxiv.org/abs/0705.0765
dc.identifierdoi:10.1016/j.crma.2007.07.001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/136262
dc.subjectPlasma Physics
dc.subjectAdaptation and Self-Organizing Systems
dc.titleGeometric dissipation in kinetic equations
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