Published

• [29] Yatao Li, Qianyun Miao, Changhui Tan, Liutang Xue.
  Global well-posedness and refined regularity criterion for the uni-directional Euler-alignment system.
  International Mathematics Research Notices, Volume 2024, No. 23, pp. 14393-14422 (2024).
• [28] Xiang Bai, Changhui Tan, Liutang Xue.
  Global well-posedness and asymptotic behavior for the Euler-alignment system with pressure.
  Journal of Differential Equations, Volume 407, pp. 269-310 (2024).
• [27] Trevor M. Leslie, Changhui Tan.
  Finite- and infinite-time cluster formation for alignment dynamics on the real line.
  Journal of Evolution Equations, Volume 24, Article 8, 45pp. (2024).
• [26] Xiang Bai, Qianyun Miao, Changhui Tan, Liutang Xue.
  Global well-posedness and asymptotic behavior in critical spaces for the compressible Euler system with velocity alignment.
  Nonlinearity, Volume 37, 025007, 46pp. (2024).
• [25] McKenzie Black, Changhui Tan.
  Asymptotic behaviors for the compressible Euler system with nonlinear velocity alignment.
  Journal of Differential Equations, Volume 380, pp. 198-227 (2024).
• [24] Manas Bhatnagar, Hailiang Liu, Changhui Tan.
  Critical thresholds in the Euler-Poisson-alignment system.
  Journal of Differential Equations, Volume 375, pp. 82-119 (2023).
• [23] Trevor M. Leslie, Changhui Tan.
  Sticky particle Cucker-Smale dynamics and the entropic selection principle for the 1D Euler-alignment system.
  Communications in Partial Differential Equations, Volume 48, No. 5, pp. 753-791 (2023).
• [22] Thomas Hamori, Changhui Tan.
  Sharp critical thresholds for a class of nonlocal traffic flow models.
  Nonlinear Analysis: Real World Applications, Volume 73, 103899, 22pp. (2023).
• [21] Yi Sun, Changhui Tan.
  Accelerated Kinetic Monte Carlo methods for general nonlocal traffic flow models.
  Physica D: Nonlinear Phenomena, Volume 446, 133657, 13pp. (2023).
• [20] Alexander Kiselev, Changhui Tan.
  The flow of polynomial roots under differentiation.
  Annals of PDE, Volume 8, No.  2, Article 16, 69pp.  (2022).
• [19] Eitan Tadmor, Changhui Tan.
  Critical threshold for global regularity of Euler-Monge-Ampère system with radial symmetry.
  SIAM Journal on Mathematical Analysis, Volume 54, No. 4, pp. 4277-4296 (2022).
• [18] Alexander Kiselev, Changhui Tan.
  Global regularity for a nonlocal PDE describing evolution of polynomial roots under differentiation.
  SIAM Journal on Mathematical Analysis, Volume 54, No. 3, pp. 3161-3191 (2022).
• [17] Yongki Lee, Changhui Tan.
  A sharp critical threshold for a traffic flow model with look-ahead dynamics.
  Communications in Mathematical Sciences, Volume 20, No. 4, pp. 1151-1172 (2022).
• [16] Li Chen, Changhui Tan, Lining Tong.
  On the global classical solution to compressible Euler system with singular velocity alignment.
  Methods and Applications of Analysis, Volume 28, No. 2, pp. 155-174 (2021).
• [15] Changhui Tan.
  Eulerian dynamics in multi-dimensions with radial symmetry.
  SIAM Journal on Mathematical Analysis, Volume 53, No 3, pp. 3040–3071 (2021).
• [14] Qianyun Miao, Changhui Tan, Liutang Xue.
  Global regularity for a 1D Euler-alignment system with misalignment.
  Mathematical Models and Methods in Applied Sciences, Volume 31, No. 3, pp. 473-524 (2021).
• [13] Yi Sun, Changhui Tan.
  On a class of new nonlocal traffic flow models with look-ahead rules.
  Physica D: Nonlinear Phenomena, Volume 413, 132663, 13pp. (2020).
• [12] Changhui Tan.
  On the Euler-alignment system with weakly singular communication weights.
  Nonlinearity, Volume 33, No 4, pp. 1907-1924 (2020).
• [11] Changhui Tan.
  Singularity formation for a fluid mechanics model with nonlocal velocity.
  Communications in Mathematical Sciences, Volume 17, No 7, pp. 1779-1794 (2019).
• [10] Alexander Kiselev, Changhui Tan.
  Global regularity for 1D Eulerian dynamics with singular interaction forces.
  SIAM Journal on Mathematical Analysis, Volume 50, No 6, pp. 6208–6229 (2018).
• [9] Alina Chertock, Changhui Tan, Bokai Yan.
  An asymptotic preserving scheme for kinetic models with singular limit.
  Kinetic and Related Models, Volume 11, No. 4, pp. 735-756 (2018).
• [8] Tam Do, Alexander Kiselev, Lenya Ryzhik, Changhui Tan.
  Global regularity for the fractional Euler alignment system.
  Archive for Rational Mechanics and Analysis, Volume 228, No. 1, pp. 1-37 (2018).
• [7] Alexander Kiselev, Changhui Tan.
  Finite time blow up in the hyperbolic Boussinesq system.
  Advances in Mathematics, Volume 325, pp. 34-55 (2018).
• [6] Changhui Tan.
  A discontinuous Galerkin method on kinetic flocking models.
  Mathematical Models and Methods in Applied Sciences, Volume 27, No 7, pp. 1199-1221 (2017).
• [5] Razvan Fetecau, Weiran Sun, Changhui Tan.
  First order aggregation models with alignment.
  Physica D: Nonlinear Phenomena, Volume 325, pp. 146-163 (2016).
• [4] Thomas Rey, Changhui Tan.
  An exact rescaling velocity method for some kinetic flocking models.
  SIAM Journal on Numerical Analysis, Volume 54, No 2, pp. 641-664 (2016).
• [3] José Carrillo, Young-Pil Choi, Eitan Tadmor, Changhui Tan.
  Critical thresholds in pressureless Euler equations with interaction forces in one dimension.
  Mathematical Models and Methods in Applied Sciences, Volume 26, No 1, pp. 185-206 (2016).
• [2] Eitan Tadmor, Changhui Tan.
  Critical thresholds in flocking hydrodynamics with nonlocal alignment.
  Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Volume 372, 20130401, 22pp. (2014).
• [1] Eitan Tadmor, Changhui Tan.
  Hierarchical construction of bounded solutions of divU = F in critical regularity spaces.
  ``Nonlinear Partial Differential Equations'', Proceedings of the 2010 Abel Symposium held in Oslo, Sep. 2010 (H. Holden & K. Karlsen eds.), Abel Symposia 7, Springer 2011, 255-269.

Other products

• [3] Zichuan Gong, Donger Pan, Yirong Yang, Changhui Tan.
  Finite time blow up for a 1D model for 3D Euler equations.
  Submitted. (REU Summer 2018)
• [2] Ke Han, Huiyi Hu, Eunkyung Ko, Ahmet Ozkan Ozer, Cory Simon, Changhui Tan.
  A variational approach to modeling aircraft hoses and flexible conduits.
  Mathematics-in-Industry Case Studies, Volume 4, pp. 1-13 (2012).  (IMA Workshop 2011)
• [1] Yanjun Guo, Mao Pan, Fei Yan, Zhe Wang, Changhui Tan, Tiao Lu.
  Application of natural neighbor interpolation method in three-dimensional geological model.
  Joumal of PLA University of Science and Technology(Natural Science Edition), Volume 10, No 6, pp. 650-655 (2009).  (Undergraduate Research 2008)

Thesis

• [2] Changhui Tan.
  Multi-scale problems on collective dynamics and image processing: Theory, analysis and numerics.
  Ph.D. thesis, University of Maryland, 2014.
• [1] Changhui Tan.
  Numerical analysis and algorithm design in natural neighbor method.
  B.S. thesis, Peking University, 2008.