  In this note we continue our study of unidirectional solutions to
hydrodynamic Euler alignment systems with strongly singular communication
kernels $\phi(x):=|x|^{-(n+\alpha)}$ for $\alpha\in(0,2)$. The solutions
describe unidirectional parallel motion of agents governing multi-dimensional
collective behavior of flocks. Here, we consider the range $1<\alpha<2$ and
establish the global regularity of smooth solutions, together with a full
description of their long time dynamics. Specifically, we develop the flocking
theory of these solutions and show long time convergence to traveling wave with
rapidly aligned velocity field.

Analysis of PDEs