2007/05/31 by Darryl D. Holm, Vakhtang Putkaradze, Cesare Tronci · 2 citations
Biochemistry, Genetics and Molecular Biology · Mathematics · Physics and Astronomy · #Geometric Analysis and Curvature Flows #Heat shock proteins research #Mathematical Biology Tumor Growth #nlin.AO #physics.plasm-ph
paper · pdf · doi:10.1016/j.crma.2007.07.001
7 pages, no figures. C. R. Math. Acad. Sci. Paris (in press)
arxiv created 2007/08/21 · openalex publication_date 2007/08/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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. The total entropy is a Casimir, and thus it is preserved.