Tanaka Theorem for Inelastic Maxwell Models
نویسندگان
چکیده
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 [25, 27]. Consequences are drawn on the asymptotic behavior of solutions in terms only of the Euclidean Wasserstein distance.
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