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