Imperial College London
Alternate

ProfessorPierreDegond

Faculty of Natural Sciences, Department of Mathematics

Visiting Professor
 
 
 
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Contact

 

p.degond Website

 
 
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Location

 

Huxley BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Degond:2017:10.1007/s00332-016-9336-3,
author = {Degond, P and Liu, J-G and Pego, RL},
doi = {10.1007/s00332-016-9336-3},
journal = {Journal of Nonlinear Science},
pages = {379--424},
title = {Coagulation-fragmentation model for animal group-size statistics},
url = {http://dx.doi.org/10.1007/s00332-016-9336-3},
volume = {27},
year = {2017}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - We study coagulation-fragmentation equations inspired by a simple modelproposed in fisheries science to explain data for the size distribution ofschools of pelagic fish. Although the equations lack detailed balance and admitno $H$-theorem, we are able to develop a rather complete description ofequilibrium profiles and large-time behavior, based on recent developments incomplex function theory for Bernstein and Pick functions. In thelarge-population continuum limit, a scaling-invariant regime is reached inwhich all equilibria are determined by a single scaling profile. This universalprofile exhibits power-law behavior crossing over from exponent $-\frac23$ forsmall size to $-\frac32$ for large size, with an exponential cut-off.
AU  - Degond,P
AU  - Liu,J-G
AU  - Pego,RL
DO  - 10.1007/s00332-016-9336-3
EP  - 424
PY  - 2017///
SN  - 0938-8974
SP  - 379
TI  - Coagulation-fragmentation model for animal group-size statistics
T2  - Journal of Nonlinear Science
UR  - http://dx.doi.org/10.1007/s00332-016-9336-3
UR  - http://arxiv.org/abs/1510.06077v1
UR  - http://hdl.handle.net/10044/1/40537
VL  - 27
ER  -
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