209 citations · 540 across the 19 of their papers we have counts for
12 papers · 1 filter
Quantitative stability of constant equilibria in a non-linear alignment model of self-propelled particles
Émeric Bouin, Amic Frouvelle
We are interested in the long-time behaviour of the kinetic Vicsek equation, rigorously derived as the mean-field limit~\cite{bolley2012meanfield} of a coupled system of~ stocha…
Swarming by curvature control in arbitrary dimension
Pierre Degond, Antoine Diez, Amic Frouvelle
We consider an interacting particle system proposed in the literature to model fish behavior. In this model, the agents move at constant speed and control the curvature of their tr…
On the Fisher infinitesimal model without variability
Amic Frouvelle, Cécile Taing
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 t…
Hyperbolicity and non-conservativity of a hydrodynamic model of swarming rigid bodies
Pierre Degond, Amic Frouvelle, Sara Merino-Aceituno +1
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 bodi…
Reversal Collision Dynamics
Amic Frouvelle, Laura Kanzler, Christian Schmeiser
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 t…
Body-attitude alignment: first order phase transition, link with rodlike polymers through quaternions, and stability
Amic Frouvelle
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 ph…