Global well-posedness and refined regularity criterion for the uni-directional Euler-alignment system

Yatao Li, Qianyun Miao, Changhui Tan +1

We investigate global solutions to the Euler-alignment system in $d$ dimensions with unidirectional flows and strongly singular communication protocols $\varphi (x)=|x{|}^{-(d+\alpha )}$ for $α…