A kinetic approach to the study of opinion formation

Laurent Boudin (1, 2) , Francesco Salvarani (3)

1 LJLL - Laboratoire Jacques-Louis Lions
2 REO - Numerical simulation of biological flows
3 Dipartimento di matematica F. Casorati

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.

Domaines: Equations aux dérivées partielles [math.AP]

Laurent Boudin, Francesco Salvarani. A kinetic approach to the study of opinion formation. ESAIM: Mathematical Modelling and Numerical Analysis, 2009, 43 (3), pp.507-522. ⟨10.1051/m2an/2009004⟩. ⟨hal-00256584v2⟩