This paper presents a review and critical analysis on the modeling of the dynamics of
vehicular traffic, human crowds and swarms seen as living and, hence, complex systems. It …

In this chapter, we present the Cucker–Smale-type flocking models and discuss their
mathematical structures and flocking theorems in terms of coupling strength, interaction …

We consider the kinetic Cucker–Smale model with local alignment as a mesoscopic
description for the flocking dynamics. The local alignment was first proposed by Karper …

Collective phenomena occur in nature, technology, and social behavior in a vast variety of
contexts. For example, birds and fish use their sensory abilities to communicate and align …

1. Introduction. Collective behaviors of many-body systems are ubiquitous in the ensemble
of self-propelled particles, eg, flocking of birds, herding of sheep, and synchronicity of …

We study the flocking dynamics of a generalized Cucker--Smale (CS) model for
thermodynamic particles. The original CS model deals with flocking dynamics of mechanical …

This chapter is dedicated to the singular models of flocking. We give an overview of the
existing literature starting from microscopic Cucker–Smale (CS) model with singular …

We present a uniform-in-time stability and uniform mean-field limit of a thermodynamic
Cucker-Smale model with small diffusion velocityf (for short, the SDV-TCS model). The …

We present a new kinetic Cucker–Smale–Fokker–Planck (CS-FP) type equation with a
degenerate diffusion, which describes the dynamics for an ensemble of infinitely many …

We consider the hydrodynamic limit of a collisionless and non-diffusive kinetic equation
under strong local alignment regime. The local alignment is first considered by Karper …