Abstract:
Various macroscopic model were proposed for social dynamics, such as
the Krause-Hegselmann for opinion dynamics of the Cucker-Smale for alignment.
Passing to the limit, it is possible to get Vlasov-Poisson type equations which are well
interpreted as nonlinear transport equations.
A general mathematical setting is that of measure spaces endowed with the Wasserstein distance.
We wil present some results on these equations and their control. |