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EMERGENCE OF MULTI-CLUSTER CONFIGURATIONS FROM ATTRACTIVE AND REPULSIVE INTERACTIONS

2014.03.24 19:13

실적년도	2011 년
논문구분	국외
총저자	Seung-Yeal Ha,
학술지명	Mathematical Models and Methods in Applied Sciences
권(Vol.)	22
호(No.)	8
게재년월	년 월
Impact Factor
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비고

We discuss 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 ranges of interactions and coupling strength.
When the number of agents approaches infinity, we introduce a scalar conservation law with a nonlocal flux for a macroscopic description. We show that the corresponding conservation law admits a classical solution for sufficiently smooth initial data, which illustrates the shock avoidance effect due to the non-locality of the interactions. We also study the dynamics of special Dirac-comb type solutions consisting of two and three point-clusters.

Eunhee Jeong,Jeong-Han Kang,Kyungkeun Kang

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