Geometric dissipation in kinetic equations

Details Geometric dissipation in kinetic equations Geometric dissipation in kinetic equations

2007-05-05

arxiv.org/abs/0705.0765v2

Physics

Plasma Physics

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

Scientific paper

10.1016/j.crma.2007.07.001

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.

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