Imperial College London


Faculty of Natural SciencesDepartment of Mathematics

Chair in Applied Mathematics



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




6M38Huxley BuildingSouth Kensington Campus






BibTex format

author = {Degond, P and Merino, Aceituno S and Vergnet, F and Yu, H},
doi = {10.1007/s00021-019-0406-9},
journal = {Journal of Mathematical Fluid Mechanics},
title = {Coupled Self-Organized Hydrodynamics and Stokes models for suspensions of active particles},
url = {},
volume = {21},
year = {2019}

RIS format (EndNote, RefMan)

AB - We derive macroscopic dynamics for self-propelled particles in a fluid. The starting point is a coupled Vicsek–Stokes system. The Vicsek model describes self-propelled agents interacting through alignment. It provides a phenomenological description of hydrodynamic interactions between agents at high density. Stokes equations describe a low Reynolds number fluid. These two dynamics are coupled by the interaction between the agents and the fluid. The fluid contributes to rotating the particles through Jeffery’s equation. Particle self-propulsion induces a force dipole on the fluid. After coarse-graining we obtain a coupled Self-Organised Hydrodynamics–Stokes system. We perform a linear stability analysis for this system which shows that both pullers and pushers have unstable modes. We conclude by providing extensions of the Vicsek–Stokes model including short-distance repulsion, finite particle inertia and finite Reynolds number fluid regime.
AU - Degond,P
AU - Merino,Aceituno S
AU - Vergnet,F
AU - Yu,H
DO - 10.1007/s00021-019-0406-9
PY - 2019///
SN - 1422-6928
TI - Coupled Self-Organized Hydrodynamics and Stokes models for suspensions of active particles
T2 - Journal of Mathematical Fluid Mechanics
UR -
UR -
VL - 21
ER -