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math.AP2023
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 dimensions with unidirectional flows and strongly singular communication protocols for $α…
math.AP2023
Finite- and Infinite-Time Cluster Formation for Alignment Dynamics on the Real Line
Trevor M. Leslie, Changhui Tan
We show that the locations where finite- and infinite-time clustering occurs for the 1D Euler-alignment system can be determined using only the initial data. Our present work provi…