145 citations · 309 across the 27 of their papers we have counts for
27 papers
Entropic solutions to the 1D pressureless Euler system with nonlocal interactions
Trevor M. Leslie, Changhui Tan
We study weak solutions of the one-dimensional pressureless Euler-Poisson-alignment system. When smooth solutions develop singularities, distributional weak solutions are not uniqu…
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…
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…
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.…
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…
Accelerated Kinetic Monte Carlo methods for general nonlocal traffic flow models
Yi Sun, Changhui Tan
This paper presents a class of one-dimensional cellular automata (CA) models on traffic flows, featuring nonlocal look-ahead interactions. We develop kinetic Monte Carlo (KMC) algo…