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:2017:10.3934/dcdsb.2017063,
author = {Degond, PAA and Manhart, A and Yu, H},
doi = {10.3934/dcdsb.2017063},
journal = {Discrete and Continuous Dynamical Systems - Series B},
pages = {1295--1327},
title = {A continuum model for nematic alignment of self-propelled particles},
url = {http://dx.doi.org/10.3934/dcdsb.2017063},
volume = {22},
year = {2017}
}

RIS format (EndNote, RefMan)

TY  - JOUR
AB - A continuum model for a population of self-propelled particlesinteracting through nematic alignment is derived from an individual-based model. The methodology consists of introducing a hydrodynamic scaling of the corresponding mean field kinetic equation. The resulting perturbation problem is solved thanks to the concept of generalized collision invariants. It yields a hyperbolic but non-conservative system of equations for the nematicmean direction of the ow and the densities of particles owing parallel or anti-parallel to this mean direction. Diffusive terms are introduced under a weakly non-local interaction assumption and the diffusion coefficient is proven to be positive. An application to the modeling of myxobacteria is outlined.
AU - Degond,PAA
AU - Manhart,A
AU - Yu,H
DO - 10.3934/dcdsb.2017063
EP - 1327
PY - 2017///
SN - 1553-524X
SP - 1295
TI - A continuum model for nematic alignment of self-propelled particles
T2 - Discrete and Continuous Dynamical Systems - Series B
UR - http://dx.doi.org/10.3934/dcdsb.2017063
UR - http://hdl.handle.net/10044/1/41271
VL - 22
ER -