Calculus of Variations and Geometric Measure Theory
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M. Morandotti - F. Solombrino

Mean-field analysis of multi-population dynamics with label switching

created by morandott on 05 Jul 2019
modified on 09 Jul 2019

[BibTeX]

Preprint

Inserted: 5 jul 2019
Last Updated: 9 jul 2019

Year: 2019

Abstract:

The mean-field analysis of a multi-population agent-based model is performed. The model couples a particle dynamics driven by a nonlocal velocity with a Markow-type jump process on the probability that each agent has of belonging to a given population. A general functional analytic framework for the well-posedness of the problem is established, and some concrete applications are presented, both in the case of discrete and continuous set of labels. In the particular case of a leader-follower dynamics, the existence and approximation results recently obtained in 2 are recovered and generalized as a byproduct of the abstract approach proposed.

Keywords: continuity equations, jump processes, superposition principle, kinetic equations, mean-field limits


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