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 …

This survey summarizes and illustrates the main qualitative properties of hydrodynamics
models for collective behavior. These models include a velocity consensus term together …

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 …

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 …

Existence of piecewise weak solutions of a discrete Cucker–Smale's flocking model with a
singular communication weight - ScienceDirect Skip to main contentSkip to article Elsevier logo …

We present a new hydrodynamic model for the interactions between collision-free Cucker–
Smale flocking particles and a viscous incompressible fluid. Our proposed model consists 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 study the global solvability and the large-time behavior of solutions to the
inhomogeneous Vlasov–Navier–Stokes equations. When the initial data is sufficiently small …

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 SDVTCS model). The …