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{Aceves:2019:10.3934/mbe.2019396,
author = {Aceves, Sanchez P and Bostan, M and Carrillo, de la Plata JA and Degond, P},
doi = {10.3934/mbe.2019396},
journal = {Mathematical Biosciences and Engineering},
pages = {7883--7910},
title = {Hydrodynamic limits for kinetic ocking models of Cucker-Smale type},
url = {http://dx.doi.org/10.3934/mbe.2019396},
volume = {16},
year = {2019}
}

RIS format (EndNote, RefMan)

TY  - JOUR
AB - We analyse the asymptotic behavior for kinetic models describing the collective behavior of animal populations. We focus on models for self-propelled individuals, whose velocity relaxes toward the mean orientation of the neighbors. The self-propelling and friction forces together with the alignment and the noise are interpreted as a collision/interaction mechanism acting with equal strength. We show that the set of generalized collision invariants, introduced in [39], is equivalent in our setting to the more classical notion of collision invariants, i.e., the kernel of a suitably linearized collision operator. After identifying these collision invariants, we derive the fluid model, by appealing to the balances for the particle concentration and orientation. We investigate the main properties of the macroscopic model for a general potential with radial symmetry.
AU - Aceves,Sanchez P
AU - Bostan,M
AU - Carrillo,de la Plata JA
AU - Degond,P
DO - 10.3934/mbe.2019396
EP - 7910
PY - 2019///
SN - 1547-1063
SP - 7883
TI - Hydrodynamic limits for kinetic ocking models of Cucker-Smale type
T2 - Mathematical Biosciences and Engineering
UR - http://dx.doi.org/10.3934/mbe.2019396
UR - http://hdl.handle.net/10044/1/70263
VL - 16
ER -