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Global well-posedness and asymptotic behavior for the Euler-alignment system with pressure

https://doi.org/10.1016/j.jde.2024.06.020

Bai, Xiang; Tan, Changhui; Xue, Liutang (October 2024, Journal of Differential Equations)

Free, publicly-accessible full text available October 1, 2025
Finite- and infinite-time cluster formation for alignment dynamics on the real line

https://doi.org/10.1007/s00028-023-00939-2

Leslie, Trevor M; Tan, Changhui (March 2024, Journal of Evolution Equations)

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Asymptotic behaviors for the compressible Euler system with nonlinear velocity alignment

https://doi.org/10.1016/j.jde.2023.10.044

Black, McKenzie; Tan, Changhui (January 2024, Journal of Differential Equations)

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Critical thresholds in the Euler-Poisson-alignment system

https://doi.org/10.1016/j.jde.2023.07.049

Bhatnagar, Manas; Liu, Hailiang; Tan, Changhui (December 2023, Journal of Differential Equations)

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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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Global well-posedness and asymptotic behavior in critical spaces for the compressible Euler system with velocity alignment

https://doi.org/10.1088/1361-6544/ad140b

Bai, Xiang; Miao, Qianyun; Tan, Changhui; Xue, Liutang (January 2024, Nonlinearity)

Abstract 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 critical Besov spaces to the considered system with small initial data. The local-in-time solvability is also addressed. Moreover, we show the large-time asymptotic behaviour and optimal decay estimates of the solutions as $t \to \infty$ .
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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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