Tanaka theorem for inelastic Maxwell models

F. Bolley, J. A. Carrillo

Research output: Contribution to journalArticleResearchpeer-review

18 Citations (Scopus)


We show that the Euclidean Wasserstein distance is contractive for inelastic homogeneous Boltzmann kinetic equations in the Maxwellian approximation and its associated Kac-like caricature. This property is as a generalization of the Tanaka theorem to inelastic interactions. Even in the elastic classical Boltzmann equation, we give a simpler proof of the Tanaka theorem than the ones in [29, 31]. Consequences are drawn on the asymptotic behavior of solutions in terms only of the Euclidean Wasserstein distance. © Springer-Verlag 2007.
Original languageEnglish
Pages (from-to)287-314
JournalCommunications in Mathematical Physics
Publication statusPublished - 1 Jan 2007


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