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

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  • 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.
    Mathematics Subject Classification: Primary: 82C22; Secondary: 91D10.


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