Hydrodynamic limit of the kinetic Cucker–Smale flocking model
By Trygve Klovning Karper, Antoine Mellet, K. Trivisa. 2012
135 citations recorded by the source corpus.
The hydrodynamic limit of a kinetic Cucker–Smale flocking model is investigated. The starting point is the model considered in [Existence of weak solutions to kinetic flocking models, SIAM Math. Anal.45 (2013) 215–243], which in addition to free transport of individuals and a standard Cucker–Smale alignment operator, includes Brownian noise and strong local alignment. The latter was derived in [On strong local alignment in the kinetic Cucker–Smale equation, in Hyperbolic Conservation Laws and Related Analysis with Applications (Springer, 2013), pp. 227–242] as the singular limit of an alignment operator first introduced by Motsch and Tadmor in [A new model for self-organized dynamics and its flocking behavior, J. Stat. Phys.141 (2011) 923–947]. The objective of this work is the rigorous investigation of the singular limit corresponding to strong noise and strong local alignment. The proof relies on a relative entropy method. The asymptotic dynamics is described by an Euler-type flocking system.
Subfields: Computer Networks and Communications, Modeling and Simulation, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/b095182a753d99c93501fdb32089753f41d6ce6b
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In Computer Networks and Communications
- Young-Pil Choi
- Seung‐Yeal Ha
- Sébastien Motsch
- Eitan Tadmor
- Zhuchun Li
- José Antonio Carrillo
- Jan Haskovec
- Pierre-Emmanuel Jabin
In Modeling and Simulation
- Young-Pil Choi
- Seung‐Yeal Ha
- Eitan Tadmor
- Zhuchun Li
- Sébastien Motsch
- Pierre-Emmanuel Jabin
- Jan Haskovec
- Jianhong Wu
In Statistical and Nonlinear Physics
- Eitan Tadmor
- Sébastien Motsch
- Young-Pil Choi
- Seung‐Yeal Ha
- Zhuchun Li
- Pierre-Emmanuel Jabin
- Roman Shvydkoy
- Felipe Cucker
Citations in the corpus
- Emergent dynamics of the Cucker-Smale flocking model and its variants (2016, methodology): “This rigorous derivation is obtained in [45] by employing a relative entropy argument.”
- Heterophilious Dynamics Enhances Consensus (2013, methodology): “We limit ourselves to a few classic general references on this topic [27, 57, 101] and a few recent references in the contexts of opinion hydrodynamics [18, 105] and flocking hydrodynamics [21, 22, 40, 61, 73, 84, 88].”