The authors prove asymptotic velocity alignment and bounded spatial spread for weak solutions of the kinetic Cucker-Smale model under exponential or polynomial decay assumptions on non-compact phase-space distributions.
Shen, Cucker-Smale flocking under hierarchical leadership, SIAM J
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On the weak flocking of the kinetic Cucker-Smale model in a fully non-compact support setting
The authors prove asymptotic velocity alignment and bounded spatial spread for weak solutions of the kinetic Cucker-Smale model under exponential or polynomial decay assumptions on non-compact phase-space distributions.