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Sharp critical thresholds for a class of nonlocal traffic flow models

https://doi.org/10.1016/j.nonrwa.2023.103899

Hamori, Thomas; Tan, Changhui (October 2023, Nonlinear Analysis: Real World Applications)

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Sticky particle Cucker–Smale dynamics and the entropic selection principle for the 1D Euler-alignment system

https://doi.org/10.1080/03605302.2023.2202720

Leslie, Trevor M.; Tan, Changhui (May 2023, Communications in Partial Differential Equations)

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Accelerated kinetic Monte Carlo methods for general nonlocal traffic flow models

https://doi.org/10.1016/j.physd.2023.133657

Sun, Yi; Tan, Changhui (April 2023, Physica D: Nonlinear Phenomena)

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The Flow of Polynomial Roots Under Differentiation

https://doi.org/10.1007/s40818-022-00135-4

Kiselev, Alexander; Tan, Changhui (December 2022, Annals of PDE)

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Critical Threshold for Global Regularity of the Euler--Monge--Ampère System with Radial Symmetry

https://doi.org/10.1137/21M1437767

Tadmor, Eitan; Tan, Changhui (August 2022, SIAM Journal on Mathematical Analysis)

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Global Regularity for a Nonlocal PDE Describing Evolution of Polynomial Roots Under Differentiation

https://doi.org/10.1137/21M1422859

Kiselev, Alexander; Tan, Changhui (June 2022, SIAM Journal on Mathematical Analysis)

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A sharp critical threshold for a traffic flow model with look-ahead dynamics

https://doi.org/10.4310/CMS.2022.v20.n4.a9

Lee, Yongki; Tan, Changhui (January 2022, Communications in Mathematical Sciences)

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Global regularity for a 1D Euler-alignment system with misalignment

https://doi.org/10.1142/S021820252150010X

Miao, Qianyun; Tan, Changhui; Xue, Liutang (March 2021, Mathematical Models and Methods in Applied Sciences)
null (Ed.)
We study one-dimensional Eulerian dynamics with nonlocal alignment interactions, featuring strong short-range alignment, and long-range misalignment. Compared with the well-studied Euler-alignment system, the presence of the misalignment brings different behaviors of the solutions, including the possible creation of vacuum at infinite time, which destabilizes the solutions. We show that with a strongly singular short-range alignment interaction, the solution is globally regular, despite the effect of misalignment.
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On the global classical solution to compressible Euler system with singular velocity alignment

https://doi.org/10.4310/MAA.2021.v28.n2.a3

Chen, Li; Tan, Changhui; Tong, Lining (January 2021, Methods and Applications of Analysis)

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Eulerian Dynamics in Multidimensions with Radial Symmetry

https://doi.org/10.1137/20M1358682

Tan, Changhui (January 2021, SIAM Journal on Mathematical Analysis)
null (Ed.)
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