Geometric dissipation in kinetic equations

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A 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.
7 pages, no figures. C. R. Math. Acad. Sci. Paris (in press)

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Plasma Physics, Adaptation and Self-Organizing Systems

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http://salesiana.dossiersoluciones.com/handle/123456789/136262

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0705.0765
 http://arxiv.org/abs/0705.0765
 doi:10.1016/j.crma.2007.07.001

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arXiv