2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/136262A 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)Plasma PhysicsAdaptation and Self-Organizing Systemstext