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Collision-avoiding in the singular Cucker-Smale model with nonlinear velocity couplings

2018
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Discrete and Continuous Dynamical Systems. Series A
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Collision avoidance is an interesting feature of the Cucker-Smale (CS) model of flocking that has been studied in many works, e.g. [2, 1, 4, 6, 7, 20, 21, 22] . In particular, in the case of singular interactions between agents, as is the case of the CS model with communication weights of the type ψ(s) = s −α for α ≥ 1, it is important for showing global well-posedness of the underlying particle dynamics. In [4], a proof of the non-collision property for singular interactions is given in the

doi:10.3934/dcds.2018232
fatcat:jwujjhso3fc7fakcmufjnbth3e