A kinetic equation for granular media

Dario Benedetto; Emanuele Caglioti; Mario Pulvirenti

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

  • Volume: 33, Issue: 2, page 439-441
  • ISSN: 0764-583X

Abstract

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In this short note we correct a conceptual error in the heuristic derivation of a kinetic equation used for the description of a one-dimensional granular medium in the so called quasi-elastic limit, presented by the same authors in reference[1]. The equation we derived is however correct so that, the rigorous analysis on this equation, which constituted the main purpose of that paper, remains unchanged.

How to cite

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Benedetto, Dario, Caglioti, Emanuele, and Pulvirenti, Mario. "A kinetic equation for granular media." ESAIM: Mathematical Modelling and Numerical Analysis 33.2 (2010): 439-441. <http://eudml.org/doc/197527>.

@article{Benedetto2010,
abstract = { In this short note we correct a conceptual error in the heuristic derivation of a kinetic equation used for the description of a one-dimensional granular medium in the so called quasi-elastic limit, presented by the same authors in reference[1]. The equation we derived is however correct so that, the rigorous analysis on this equation, which constituted the main purpose of that paper, remains unchanged. },
author = {Benedetto, Dario, Caglioti, Emanuele, Pulvirenti, Mario},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
keywords = {Granular media; inelastic collisions; kinetic equations.; Liouville equation; one-particle probability density; existence; uniqueness; asymptotic behavior; microscopic model for granular media; kinetic equation; one-dimensional granular medium; quasi-elastic limit},
language = {eng},
month = {3},
number = {2},
pages = {439-441},
publisher = {EDP Sciences},
title = {A kinetic equation for granular media},
url = {http://eudml.org/doc/197527},
volume = {33},
year = {2010},
}

TY - JOUR
AU - Benedetto, Dario
AU - Caglioti, Emanuele
AU - Pulvirenti, Mario
TI - A kinetic equation for granular media
JO - ESAIM: Mathematical Modelling and Numerical Analysis
DA - 2010/3//
PB - EDP Sciences
VL - 33
IS - 2
SP - 439
EP - 441
AB - In this short note we correct a conceptual error in the heuristic derivation of a kinetic equation used for the description of a one-dimensional granular medium in the so called quasi-elastic limit, presented by the same authors in reference[1]. The equation we derived is however correct so that, the rigorous analysis on this equation, which constituted the main purpose of that paper, remains unchanged.
LA - eng
KW - Granular media; inelastic collisions; kinetic equations.; Liouville equation; one-particle probability density; existence; uniqueness; asymptotic behavior; microscopic model for granular media; kinetic equation; one-dimensional granular medium; quasi-elastic limit
UR - http://eudml.org/doc/197527
ER -

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