Semi-dilute rheology of particle suspensions: derivation of Doi-type models

M Duerinckx - Archive for Rational Mechanics and Analysis, 2024 - Springer
This work is devoted to the large-scale rheology of suspensions of non-Brownian inertialess
rigid particles, possibly self-propelling, suspended in a Stokes flow. Starting from a …

Derivation of an Effective Rheology for Dilute Suspensions of Microswimmers

A Girodroux-Lavigne - SIAM Journal on Mathematical Analysis, 2023 - SIAM
We provide a rigorous derivation of an effective rheology for dilute viscous suspensions of
self-propelled particles. We derive at the limit an effective Stokes system with two additional …

Hydrodynamic limits for kinetic flocking models of Cucker-Smale type

P Aceves-Sánchez, M Bostan, JA Carrillo… - arxiv preprint arxiv …, 2019 - arxiv.org
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 …

Cauchy theory for general kinetic Vicsek models in collective dynamics and mean-field limit approximations

M Briant, A Diez, S Merino-Aceituno - SIAM Journal on Mathematical Analysis, 2022 - SIAM
In this paper we provide a local Cauchy theory both on the torus and in the whole space for
general Vicsek dynamics at the kinetic level. We consider rather general interaction kernels …

From kinetic flocking model of Cucker-Smale type to self-organized hydrodynamic model

N Jiang, YL Luo, TF Zhang - arxiv preprint arxiv:2302.05700, 2023 - arxiv.org
We investigate the hydrodynamic limit problem for a kinetic flocking model. We develop a
GCI-based Hilbert expansion method, and establish rigorously the asymptotic regime from …

Macroscopic effects of an anisotropic gaussian-type repulsive potential: nematic alignment and spatial effects

S Merino-Aceituno, S Plunder, C Wytrzens… - arxiv preprint arxiv …, 2024 - arxiv.org
Elongated particles in dense systems often exhibit alignment due to volume exclusion
interactions, leading to packing configurations. Traditional models of collective dynamics …

From kinetic to fluid models of liquid crystals by the moment method

P Degond, A Frouvelle, JG Liu - arxiv preprint arxiv:2106.16228, 2021 - arxiv.org
This paper deals with the convergence of the Doi-Navier-Stokes model of liquid crystals to
the Ericksen-Leslie model in the limit of the Deborah number tending to zero. While the …

Large-scale dynamics of self-propelled particles moving through obstacles: model derivation and pattern formation

P Aceves-Sanchez, P Degond, EE Keaveny… - Bulletin of Mathematical …, 2020 - Springer
We model and study the patterns created through the interaction of collectively moving self-
propelled particles (SPPs) and elastically tethered obstacles. Simulations of an individual …

Hydrodynamic limit of multiscale viscoelastic models for rigid particle suspensions

M Duerinckx, L Ertzbischoff… - arxiv preprint arxiv …, 2023 - arxiv.org
We study the multiscale viscoelastic Doi model for suspensions of Brownian rigid rod-like
particles, as well as its generalization by Saintillan and Shelley for self-propelled particles …

How environment affects active particle swarms: a case study

P Degond, A Manhart… - Royal Society …, 2022 - royalsocietypublishing.org
We investigate the collective motion of self-propelled agents in an environment filled with
obstacles that are tethered to fixed positions via springs. The active particles are able to …