
Uniform convergence to equilibrium for granular media
Guillin, Arnaud; Gentil, Ivan; Bolley, François (2013), Uniform convergence to equilibrium for granular media, Archive for Rational Mechanics and Analysis, 208, 2, p. 429-445. http://dx.doi.org/10.1007/s00205-012-0599-z
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Article accepté pour publication ou publiéExternal document link
http://hal.archives-ouvertes.fr/hal-00688780Date
2013Journal name
Archive for Rational Mechanics and AnalysisVolume
208Number
2Publisher
Springer
Pages
429-445
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Show full item recordAbstract (EN)
We study the long time asymptotics of a nonlinear, nonlocal equation used in the modelling of granular media. We prove a uniform exponential convergence to equilibrium for degenerately convex and non convex interaction or confinement potentials, improving in particular results by J. A. Carrillo, R. J. McCann and C. Villani. The method is based on studying the dissipation of the Wasserstein distance between a solution and the steady state.Subjects / Keywords
rate of convergence; Wasserstein distance; Diffusion equationsRelated items
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