Existence of piecewise weak solutions of a discrete Cucker-Smale's flocking model with a singular communication weight

By Jan Peszek. 2013

102 citations recorded by the source corpus.

Abstract We prove existence of global C 1 piecewise weak solutions for the discrete Cucker–Smale's flocking model with a non-Lipschitz communication weight ψ ( s ) = s − α , 0 α 1 . We also discuss the possibility of finite in time alignment of the velocities of the particles.

Subfields: Computer Networks and Communications, Condensed Matter Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/e1453ec8a4231239acf5710dfcf987fa801437ca

How researchers see this paper

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In Computer Networks and Communications

1. Jan Haskovec
2. Young-Pil Choi

In Condensed Matter Physics

1. Jan Haskovec
2. Young-Pil Choi

In Statistical and Nonlinear Physics

1. Jan Haskovec
2. Young-Pil Choi

Citations in the corpus

• Cucker-Smale model with normalized communication weights and time delay (2016, background): “For instance, the case of singular communication rates φ(s) = 1/s was studied in [2, 5, 17, 25].”