Publications

BibTex format

@article{Degond:2016:10.3934/krm.2017008,
author = {Degond, PAA and Henkes, S and Yu, H},
doi = {10.3934/krm.2017008},
journal = {Kinetic and Related Models},
pages = {193--213},
title = {Self-organized Hydrodynamics with density-dependent velocity},
url = {http://dx.doi.org/10.3934/krm.2017008},
volume = {10},
year = {2016}
}

Download

RIS format (EndNote, RefMan)

TY  - JOUR
AB  - Motivated by recent experimental and computational results thatshow a motility-induced clustering transition in self-propelled particle systems,we study an individual model and its corresponding Self-Organized Hydrodynamicmodel for collective behaviour that incorporates a density-dependentvelocity, as well as inter-particle alignment. The modal analysis of the hydrodynamicmodel elucidates the relationship between the stability of the equilibriaand the changing velocity, and the formation of clusters. We find, in agreementwith earlier results for non-aligning particles, that the key criterion for stabilityis (ρv(ρ))0 ≥ 0, i.e. a nondecreasing mass flux ρv(ρ) with respect to the density.Numerical simulation for both the individual and hydrodynamic modelswith a velocity function inspired by experiment demonstrates the validity ofthe theoretical results.
AU  - Degond,PAA
AU  - Henkes,S
AU  - Yu,H
DO  - 10.3934/krm.2017008
EP  - 213
PY  - 2016///
SN  - 1937-5093
SP  - 193
TI  - Self-organized Hydrodynamics with density-dependent velocity
T2  - Kinetic and Related Models
UR  - http://dx.doi.org/10.3934/krm.2017008
UR  - http://hdl.handle.net/10044/1/37111
VL  - 10
ER  -

Download

ProfessorPierreDegond

Contact

Location

Summary

Citation

BibTex format

RIS format (EndNote, RefMan)