Macroscopic Limits and Phase Transition in a System of Self-propelled Particles

A CONTINUUM MODEL FOR ALIGNMENT OF SELF-PROPELLED PARTICLES WITH ANISOTROPY AND DENSITY-DEPENDENT PARAMETERS

(2012) AMIC FROUVELLE   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

Dynamics in a Kinetic Model of Oriented Particles with Phase Transition

(2012) Amic Frouvelle et al.   SIAM JOURNAL ON MATHEMATICAL ANALYSIS

Mean-field limit for the stochastic Vicsek model

(2011) François Bolley et al.   APPLIED MATHEMATICS LETTERS

A Macroscopic Model for a System of Swarming Agents Using Curvature Control

(2011) Pierre Degond et al.   JOURNAL OF STATISTICAL PHYSICS

DIFFUSION IN A CONTINUUM MODEL OF SELF-PROPELLED PARTICLES WITH ALIGNMENT INTERACTION

(2010) PIERRE DEGOND et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

SELF-PROPELLED INTERACTING PARTICLE SYSTEMS WITH ROOSTING FORCE

(2010) JOSÉ A. CARRILLO et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

Double milling in self-propelled swarms from kinetic theory

(2009) José Carrillo et al.   Kinetic and Related Models

Large Scale Dynamics of the Persistent Turning Walker Model of Fish Behavior

(2008) Pierre Degond et al.   JOURNAL OF STATISTICAL PHYSICS

CONTINUUM LIMIT OF SELF-DRIVEN PARTICLES WITH ORIENTATION INTERACTION

(2008) PIERRE DEGOND et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES