Zobrazeno 1 - 10
of 108
pro vyhledávání: '"Frouvelle, A"'
Autor:
Degond, Pierre, Frouvelle, Amic
We consider self-propelled rigid-bodies interacting through local body-attitude alignment modelled by stochastic differential equations. We derive a hydrodynamic model of this system at large spatio-temporal scales and particle numbers in any dimensi
Externí odkaz:
http://arxiv.org/abs/2307.15560
Autor:
Frouvelle, Amic, Taing, Cécile
We study the long-time behavior of solutions to a model of sexual populations structured in phenotypes. The model features a nonlinear integral reproduction operator derived from the Fisher infinitesimal operator and a trait-dependent selection term.
Externí odkaz:
http://arxiv.org/abs/2307.12735
In this paper, we study a nonlinear system of first order partial differential equations describing the macroscopic behavior of an ensemble of interacting self-propelled rigid bodies. Such system may be relevant for the modelling of bird flocks, fish
Externí odkaz:
http://arxiv.org/abs/2210.16122
Motivated by the study of reversal behaviour of myxobacteria, in this article we are interested in a kinetic model for reversal dynamics, in which particles with directions close to be opposite undergo binary collision resulting in reversing their or
Externí odkaz:
http://arxiv.org/abs/2209.11413
We consider a system of self-propelled agents interacting through body attitude coordination in arbitrary dimension $n \geq 3$. We derive the formal kinetic and hydrodynamic limits for this model. Previous literature was restricted to dimension $n=3$
Externí odkaz:
http://arxiv.org/abs/2111.05614
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 literature has investigated this problem by means of the Hilbert expans
Externí odkaz:
http://arxiv.org/abs/2106.16228
Autor:
Frouvelle, Amic
We present a simple model of alignment of a large number of rigid bodies (modeled by rotation matrices) subject to internal rotational noise. The numerical simulations exhibit a phenomenon of first order phase transition with respect the alignment in
Externí odkaz:
http://arxiv.org/abs/2011.14891
In this article we investigate the phase transition phenomena that occur in a model of self-organisation through body-attitude coordination. Here, the body-attitude of an agent is modelled by a rotation matrix in $\mathbb{R}^3$ as in [Degond, Frouvel
Externí odkaz:
http://arxiv.org/abs/1905.04885
The goal of these lecture notes is to present in a unified way various models for the dynamics of aligning self-propelled rigid bodies at different scales and the links between them. The models and methods are inspired from [12,13], but, in addition,
Externí odkaz:
http://arxiv.org/abs/1810.06903
Autor:
Frouvelle, Amic, Liu, Jian-Guo
We give a complete study of the asymptotic behavior of a simple model of alignment of unit vectors, both at the level of particles , which corresponds to a system of coupled differential equations, and at the continuum level, under the form of an agg
Externí odkaz:
http://arxiv.org/abs/1810.06904