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ESAIM: M2AN 43 (2009) 507-522
DOI: 10.1051/m2an/2009004
A kinetic approach to the study of opinion formation
Laurent Boudin1 and Francesco Salvarani21 UPMC Université Paris 6, UMR 7598, Laboratoire Jacques-Louis Lions, 75005 Paris, France. laurent.boudin@upmc.fr
2 Dipartimento di Matematica, Università Degli Studi di Pavia, Via Ferrata 1, 27100 Pavia, Italy. francesco.salvarani@unipv.it
Received February 15, 2008. Revised October 15, 2008. Published online February 7, 2009.
Abstract
In this work, we use the methods of nonequilibrium statistical mechanics in order to derive an equation which models some mechanisms of opinion formation. After proving the main mathematical properties of the model, we provide some numerical results.
Mathematics Subject Classification. 91D10, 82C22.
Key words: Sociophysics, opinion formation, kinetic theory.
© EDP Sciences, SMAI 2009
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