Geometric dissipation in kinetic equations
arXiv:0705.0765 · doi:10.1016/j.crma.2007.07.001
Abstract
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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