# 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

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topBenedetto, 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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