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arxiv: 1412.6458 · v1 · pith:XK6WNAC2new · submitted 2014-12-19 · 🧮 math.AP

Discrete Cucker-Smale's flocking model with a weakly singular weight

classification 🧮 math.AP
keywords alphacucker-smalediscreteflockingmodelsingularsolutionsweight
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For the discrete Cucker-Smale's flocking model with a singular communication weight $\psi(s) = s^{-\alpha}$, with $0<\alpha<1/2$ , we prove that the velocity component of certain type of weak solutions is absolutly continuous. This result enables us to obtain existence and uniqeness of global solutions.

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