We show how the sticky dynamics for the one-dimensional pressureless Euler-alignment
system can be obtained as an $ L^ 2$-gradient flow of a convex functional. This is …

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 study the limiting dynamics of the Euler Alignment system with a smooth, heavy-tailed
interaction kernel ϕ and unidirectional velocity u=(u, 0,…, 0). We demonstrate a striking …

We present a simple approach for studying the one-dimensional pressureless Euler system
via adhesion dynamics in the Wasserstein space P_2(R) of probability measures with finite …

We study the large-time behavior of a hydrodynamic model which describes the collective
behavior of continuum of agents, driven by pairwise alignment interactions with additional …

The asymptotic analysis of kinetic models describing the behavior of particles interacting
through alignment is performed. We will analyze the asymptotic regime corresponding to …

Euler alignment systems appear as hydrodynamic limits of interacting self-propelled particle
systems such as the (generalized) Cucker-Smale model. In this work, we study weak …

We study the long-time hydrodynamic behavior of systems of multi-species which arise from
agent-based description of alignment dynamics. The interaction between species is …

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 …