Vehicular traffic, crowds, and swarms: From kinetic theory and multiscale methods to applications and research perspectives
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 …
vehicular traffic, human crowds and swarms seen as living and, hence, complex systems. It …
Emergent dynamics of the Cucker–Smale flocking model and its variants
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 …
mathematical structures and flocking theorems in terms of coupling strength, interaction …
A rigorous derivation from the kinetic Cucker–Smale model to the pressureless Euler system with nonlocal alignment
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 …
description for the flocking dynamics. The local alignment was first proposed by Karper …
[图书][B] Dynamics and analysis of alignment models of collective behavior
R Shvydkoy - 2021 - Springer
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 …
contexts. For example, birds and fish use their sensory abilities to communicate and align …
[PDF][PDF] Uniform stability of the Cucker-Smale model and its application to the mean-field limit
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 …
of self-propelled particles, eg, flocking of birds, herding of sheep, and synchronicity of …
Emergent behaviors of thermodynamic Cucker--Smale particles
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 …
thermodynamic particles. The original CS model deals with flocking dynamics of mechanical …
Singular cucker–smale dynamics
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 …
existing literature starting from microscopic Cucker–Smale (CS) model with singular …
Uniform stability and mean-field limit of a thermodynamic Cucker-Smale model
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 …
Cucker-Smale model with small diffusion velocityf (for short, the SDV-TCS model). The …
[HTML][HTML] Emergent dynamics of Cucker–Smale flocking particles in a random environment
SY Ha, J Jeong, SE Noh, Q Xiao, X Zhang - Journal of Differential …, 2017 - Elsevier
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 …
degenerate diffusion, which describes the dynamics for an ensemble of infinitely many …
Asymptotic analysis of Vlasov-type equations under strong local alignment regime
MJ Kang, AF Vasseur - … Models and Methods in Applied Sciences, 2015 - World Scientific
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 …
under strong local alignment regime. The local alignment is first considered by Karper …