Displaying similar documents to “On the distribution of free path lengths for the periodic Lorentz gas II”

On the Periodic Lorentz Gas and the Lorentz Kinetic Equation

François Golse (2008)

Annales de la faculté des sciences de Toulouse Mathématiques

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We prove that the Boltzmann-Grad limit of the Lorentz gas with periodic distribution of scatterers cannot be described with a linear Boltzmann equation. This is at variance with the case of a Poisson distribution of scatterers, for which the convergence to the linear Boltzmann equation was proved by Gallavotti [ , 308 (1969)]. The arguments presented here complete the analysis in [Golse-Wennberg, , 1151 (2000)], where the impossibility of a kinetic description...

A kinetic equation for granular media

D. Benedetto, E. Caglioti, M. Pulvirenti (1997)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

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Kinetic and hydrodynamic equations for granular media

Mario Pulvirenti (1999)

Journées équations aux dérivées partielles

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In this lecture i present some open mathematical problems concerning some PDE arising in the study of one-dimensional models for granular media.