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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