Existence of piecewise weak solutions of a discrete Cucker-Smale's flocking model with a singular communication weight
classification
🧮 math.AP
keywords
alphacommunicationcucker-smalediscreteexistenceflockingmodelpiecewise
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We prove existence of global $C^1$ piecewise weak solutions for the discrete Cucker-Smale's flocking model with the communication weight $\psi(s)=s^{-\alpha}, 0<\alpha<1.$ We also discuss the possibility of finite in time alignment of the velocities of the particles.
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