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 …

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 …

. System 1 is a canonical model for alignment dynamics in which pairwise interactions steer
towards average heading. Alignment originated in pioneering works Rey87 VCBCS95 …

Euler-type equations and commutators in singular and hyperbolic limits of kinetic Cucker–Smale
models Page 1 Mathematical Models and Methods in Applied Sciences Vol. 27, No. 6 (2017) …

We develop a global wellposedness theory for weak solutions to the 1D Euler-alignment
system with measure-valued density, bounded velocity, and locally integrable …

We study the swarming behavior of hydrodynamic alignment. Alignment reflects steering
toward a weighted average heading. We consider the class of so-called $ p $-alignment …

We introduce a framework to justify hydrodynamic limits of the Vlasov-Navier-Stokes system.
We specifically study high friction regimes, which take into account the fact that particles of …

Over the past decades, kinetic description of granular materials has received a lot of
attention in mathematical community and applied fields such as physics and engineering …

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 …