Mario Ohlberger

Kyungkeun Kang (Yonsei University, Republic of Korea): Emergence of multi-cluster configurations from attractive and repulsive interactions

Wednesday, 25.05.2011 16:15 im Raum M4

Mathematik und Informatik

We introduce a first-order Cucker-Smale type consensus model with attractive and repulsive interactions, and present upper and lower bound estimates on the number of asymptotic point-clusters, depending on the relative size of interactions and coupling strength. When the number of agents goes to infinity, we introduce a scalarconservation law with nonlocal flux for a macroscopic description. We show that the corresponding conservation law admits classical solution for sufficiently smooth initial data, which illustrates the shock avoiding effect due to the non-locality of the interactions.

Angelegt am 11.05.2011 von Mario Ohlberger
Geändert am 12.05.2011 von Mario Ohlberger
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