Tanaka Theorem for Inelastic Maxwell Models

Details Tanaka Theorem for Inelastic Maxwell Models Tanaka Theorem for Inelastic Maxwell Models

2006-04-14

arxiv.org/abs/math/0604332v1

Mathematics

Analysis of PDEs

Scientific paper

10.1007/s00220-007-0336-x

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. Consequences are drawn on the asymptotic behavior of solutions in terms only of the Euclidean Wasserstein distance.

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