Imperial College London

ProfessorPierreDegond

Faculty of Natural SciencesDepartment of Mathematics

Chair in Applied Mathematics
 
 
 
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Contact

 

+44 (0)20 7594 1474p.degond Website CV

 
 
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Location

 

6M38Huxley BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Degond:2015:10.1142/S021820251540014X,
author = {Degond, P and Navoret, L},
doi = {10.1142/S021820251540014X},
journal = {Mathematical Models and Methods in Applied Science},
pages = {2439--2475},
title = {A multi-layer model for self-propelled disks interacting through alignment and volume exclusion},
url = {http://dx.doi.org/10.1142/S021820251540014X},
volume = {25},
year = {2015}
}

RIS format (EndNote, RefMan)

TY  - JOUR
AB - We present an individual-based model describing disk-like self-propelled particles movinginside parallel planes. The disk directions of motion follow alignment rules insideeach layer. Additionally, the disks are subject to interactions with those of the neighboringlayers arising from volume exclusion constraints. These interactions affect the diskinclinations with respect to the plane of motion. We formally derive a macroscopic modelcomposed of planar self-organized hydrodynamic (SOH) models describing the transportof mass and evolution of mean direction of motion of the disks in each plane, supplementedwith transport equations for the mean disk inclination. These planar modelsare coupled due to the interactions with the neighboring planes. Numerical comparisonsbetween the individual-based and macroscopic models are carried out. These modelscould be applicable, for instance, to describe sperm-cell collective dynamics.
AU - Degond,P
AU - Navoret,L
DO - 10.1142/S021820251540014X
EP - 2475
PY - 2015///
SN - 0218-2025
SP - 2439
TI - A multi-layer model for self-propelled disks interacting through alignment and volume exclusion
T2 - Mathematical Models and Methods in Applied Science
UR - http://dx.doi.org/10.1142/S021820251540014X
UR - http://hdl.handle.net/10044/1/25417
VL - 25
ER -