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 rigorously derive pressureless Euler-type equations with nonlocal dissipative terms in
velocity and aggregation equations with nonlocal velocity fields from Newton-type particle …

The Euler--Poisson-alignment (EPA) system appears in mathematical biology and is used to
model, in a hydrodynamic limit, a set of agents interacting through mutual …

We study an asymptotic limit of Vlasov type equation with nonlocal interaction forces where
the friction terms are dominant. We provide a quantitative estimate of this large friction limit …

We rigorously show a large friction limit of hydrodynamic models with alignment, attractive,
and repulsive effects. More precisely, we consider pressureless Euler equations with …

In this paper, we study the Cauchy problem of the compressible Euler system with strongly
singular velocity alignment. We prove the existence and uniqueness of global solutions in …

In this paper, we provide modulated interaction energy estimates for the kernel with and its
applications to quantified asymptotic analyses for kinetic equations. The proof relies on a …

In this paper, we study the macroscopic behavior of the inertial spin (IS) model. This model
has been recently proposed to describe the collective dynamics of flocks of birds, and its …

In this paper, we present the hydrodynamic limit of a multiscale system describing the
dynamics of two populations of agents with alignment interactions and the effect of an …

The agent-based singular Kuramoto model was proposed in [60] as a singular version of the
Kuramoto model of coupled oscillators that is consistent with Hebb's rule of neuroscience. In …