Hydrodynamic Cucker-Smale model with normalized communication weights and time delay

Handle URI:
http://hdl.handle.net/10754/626501
Title:
Hydrodynamic Cucker-Smale model with normalized communication weights and time delay
Authors:
Choi, Young-Pil; Haskovec, Jan
Abstract:
We study a hydrodynamic Cucker-Smale-type model with time delay in communication and information processing, in which agents interact with each other through normalized communication weights. The model consists of a pressureless Euler system with time delayed non-local alignment forces. We resort to its Lagrangian formulation and prove the existence of its global in time classical solutions. Moreover, we derive a sufficient condition for the asymptotic flocking behavior of the solutions. Finally, we show the presence of a critical phenomenon for the Eulerian system posed in the spatially one-dimensional setting.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Publisher:
arXiv
KAUST Grant Number:
1000000193
Issue Date:
17-Jul-2017
ARXIV:
arXiv:1707.05190
Type:
Preprint
Additional Links:
http://arxiv.org/abs/1707.05190v1; http://arxiv.org/pdf/1707.05190v1
Appears in Collections:
Other/General Submission; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorChoi, Young-Pilen
dc.contributor.authorHaskovec, Janen
dc.date.accessioned2017-12-28T07:32:13Z-
dc.date.available2017-12-28T07:32:13Z-
dc.date.issued2017-07-17en
dc.identifier.urihttp://hdl.handle.net/10754/626501-
dc.description.abstractWe study a hydrodynamic Cucker-Smale-type model with time delay in communication and information processing, in which agents interact with each other through normalized communication weights. The model consists of a pressureless Euler system with time delayed non-local alignment forces. We resort to its Lagrangian formulation and prove the existence of its global in time classical solutions. Moreover, we derive a sufficient condition for the asymptotic flocking behavior of the solutions. Finally, we show the presence of a critical phenomenon for the Eulerian system posed in the spatially one-dimensional setting.en
dc.publisherarXiven
dc.relation.urlhttp://arxiv.org/abs/1707.05190v1en
dc.relation.urlhttp://arxiv.org/pdf/1707.05190v1en
dc.rightsArchived with thanks to arXiven
dc.titleHydrodynamic Cucker-Smale model with normalized communication weights and time delayen
dc.typePreprinten
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.eprint.versionPre-printen
dc.contributor.institutionDepartment of Mathematics, Inha University, Incheon 402-751, Republic of Koreaen
dc.identifier.arxividarXiv:1707.05190en
kaust.authorHaskovec, Janen
kaust.grant.number1000000193en
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