We consider a Boltzmann equation for inelastic particles on the line and prove existence and uniqueness for the solutions.
@article{M2AN_2001__35_5_899_0,
author = {Benedetto, Dario and Pulvirenti, Mario},
title = {On the one-dimensional Boltzmann equation for granular flows},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
volume = {35},
year = {2001},
pages = {899-905},
mrnumber = {1866273},
zbl = {1044.82012},
language = {en},
url = {http://dml.mathdoc.fr/item/M2AN_2001__35_5_899_0}
}
Benedetto, Dario; Pulvirenti, Mario. On the one-dimensional Boltzmann equation for granular flows. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 35 (2001) pp. 899-905. http://gdmltest.u-ga.fr/item/M2AN_2001__35_5_899_0/
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