## Published

- [20] Changhui Tan.

Eulerian dynamics in multi-dimensions with radial symmetry.

SIAM Journal on Mathematical Analysis, Volume 53, No 3, pp. 3040–3071 (2021). - [19] 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). - [18] Yi Sun, Changhui Tan.

On a class of new nonlocal traffic flow models with look-ahead rules.

Physica D, Volume 413, 132663 (2020). - [17] Changhui Tan.

On the Euler-alignment system with weakly singular communication weights.

Nonlinearity, Volume 33, No 4, pp. 1907-1924 (2020). - [16] Changhui Tan.

Singularity formation for a fluid mechanics model with nonlocal velocity.

Communications in Mathematical Sciences, Volume 17, No 7, pp. 1779-1794 (2019). - [15] 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). - [14] 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). - [13] 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). - [12] Alexander Kiselev, Changhui Tan.

Finite time blow up in the hyperbolic Boussinesq system.

Advances in Mathematics, Volume 325, pp. 34-55 (2018). - [11] 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). - [10] Razvan Fetecau, Weiran Sun, Changhui Tan.

First order aggregation models with alignment.

Physica D: Nonlinear Phenomena, Volume 325, pp. 146-163 (2016). - [9] 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). - [8] 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). - [7] Eitan Tadmor, Changhui Tan.

Critical thresholds in flocking hydrodynamics with nonlocal alignment.

Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 372.2028 (2014): 20130401. - [6] 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

- [5] Zichuan Gong, Donger Pan, Yirong Yang, Changhui Tan.

Finite time blow up for a 1D model for 3D Euler equations.

Submitted.**(REU Summer 2018)** - [4] 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 Journal, Volume 4, pp. 1-13 (2012).**(IMA Workshop 2011)** - [3] 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.