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September  2009, 2(3): 433-449. doi: 10.3934/krm.2009.2.433

The quasi-invariant limit for a kinetic model of sociological collective behavior

Laurent Boudin 1, and  Francesco Salvarani 2,

1. 

UPMC Univ Paris 06, UMR 7598 LJLL, Paris, F-75005, France
2. 

Dipartimento di Matematica, Università degli Studi di Pavia, Via Ferrata 1 - 27100 Pavia, Italy

Received  January 2009 Revised  June 2009 Published  July 2009

The paper is devoted to the study of the asymptotic behavior of a kinetic model proposed to forecast the phenomenon of opinion formation, with both effect of self-thinking and compromise between individuals. By supposing that the effects of self-thinking and compromise are very weak, we asymptotically deduce some simpler models who loose the kinetic structure. We explicitly characterize the asymptotic state of the limiting equation and study the speed of convergence towards equilibrium.
Keywords: opinion formation, Sociophysics, kinetic theory..
Mathematics Subject Classification: Primary: 82C22; Secondary: 91D1.
Citation: Laurent Boudin, Francesco Salvarani. The quasi-invariant limit for a kinetic model of sociological collective behavior. Kinetic & Related Models, 2009, 2 (3) : 433-449. doi: 10.3934/krm.2009.2.433
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