V. I. Gerasimenko


For collisional dynamics modeling the collective behavior of complex systems of mathema-tical biology, the process of propagation of initial correlations is described. The developed approach is based on the construction of a mean field limit for a solution of the Cauchy problem of the nonlinear BBGKY hierarchy for marginal correlation functions.


kinetic equation; correlation function; scaling limit; active soft matter


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Gerasimenko, V.I., Fedchun, Yu.Yu. (2015). On semigroups of large particle systems and their scaling asymptotic behavior. In: Semigroups of Operators ─ Theory and Applications. Series: Springer Proceedings in Mathematics and Statistics, Springer, 113, 165-182.

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