Finite- and infinite-time cluster formation for alignment dynamics on the real line
Author:
Funder
Division of Mathematical Sciences
Publisher
Springer Science and Business Media LLC
Link
https://link.springer.com/content/pdf/10.1007/s00028-023-00939-2.pdf
Reference39 articles.
1. Victor Arnaiz and Ángel Castro. Singularity formation for the fractional Euler-alignment system in 1D. Transactions of the American Mathematical Society, 374(1):487–514, 2021.
2. Xiang Bai, Qianyun Miao, Changhui Tan, and Liutang Xue. Global well-posedness and asymptotic behavior in critical spaces for the compressible Euler system with velocity alignment. Nonlinearity, 37(2):025007, 2024.
3. Manas Bhatnagar, Hailiang Liu, and Changhui Tan. Critical thresholds in the Euler-Poisson-alignment system. Journal of Differential Equations, 375:82–119, 2023.
4. Yann Brenier, Wilfrid Gangbo, Giuseppe Savaré, and Michael Westdickenberg. Sticky particle dynamics with interactions. Journal de Mathématiques Pures et Appliquées, 99(5):577–617, 2013.
5. Yann Brenier and Emmanuel Grenier. Sticky particles and scalar conservation laws. SIAM journal on numerical analysis, 35(6):2317–2328, 1998.
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