145 citations · 309 across the 27 of their papers we have counts for
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math.AP2022
Asymptotic behaviors for the compressible Euler system with nonlinear velocity alignment
McKenzie Black, Changhui Tan
We consider the compressible Euler system with a family of nonlinear velocity alignments. The system is a nonlinear extension of the Euler-alignment system in collective dynamics.…
math.AP2022
Global well-posedness and asymptotic behavior in critical spaces for the compressible Euler system with velocity alignment
Xiang Bai, Qianyun Miao, Changhui Tan +1
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…
math.AP2022
Sharp critical thresholds for a class of nonlocal traffic flow models
Thomas Hamori, Changhui Tan
We study a class of traffic flow models with nonlocal look-ahead interactions. The global regularity of solutions depend on the initial data. We obtain sharp critical threshold con…