Changhui Tan
I am a postdoctoral research associate in CSCAMM and Department of Mathematics, University of Maryland.
A discontinuous Galerkin method on kinetic flocking models
Changhui Tan
Mathematical Models and Methods in Applied Sciences, Volume 27, No 7, pp. 1199-1221 (2017).
Abstract
We study kinetic representations of flocking models. They arise from agent-based models for self-organized dynamics, such as Cucker–Smale [Emergent behaviors in flocks, IEEE Trans. Autom. Control. 52 (2007) 852–862] and Motsch–Tadmor [A new model for self-organized dynamics and its flocking behavior, J. Statist. Phys. 144 (2011) 923– 947] models. We first establish a well-posedness theory and large-time flocking behavior for the kinetic systems, which indicates a concentration in velocity variable in infinite time. We then apply a discontinuous Galerkin method to treat the asymptotic \(\delta\)-singularity, and construct high-order positive-preserving schemes to solve kinetic flocking systems.
doi:10.1142/S0218202517400139 | |
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List of publications
Preprint
- [4] Thomas Hamori, Changhui Tan.
On the Aw-Rascle-Zhang traffic models with nonlocal look-ahead interactions.
Submitted. - [3] Xiang Bai, Changhui Tan, Liutang Xue.
Global well-posedness and asymptotic behavior for the Euler-alignment system with pressure.
Submitted. - [2] McKenzie Black, Changhui Tan.
Hydrodynamic limit of a kinetic flocking model with nonlinear velocity alignment.
Submitted. - [1] Yatao Li, Qianyun Miao, Changhui Tan, Liutang Xue.
Global well-posedness and refined regularity criterion for the uni-directional Euler-alignment system.
Submitted.
Curriculum Vitae
Education
2008 – 2014 | Applied Mathematics and Scientific Computing (AMSC) Program |
University of Maryland, College Park | |
Doctor of Philosophy, Major: Applied Mathematics | |
2004 – 2008 | Department of Scientific and Engineering Computing |
School of Mathematical Sciences, Peking University | |
Bachelor of Science, Major: Applied Mathematics | |
2005 – 2008 | National School of Development |
Peking University | |
A Double Major in Economics, Bachelor of Science |