## Changhui Tan

I am a postdoctoral research associate in CSCAMM and Department of Mathematics, University of Maryland.

### First-order aggregation models with alignment

- This is a joint work with
*Razvan C. Fetecau*and*Weiran Sun*. - The paper has been published in
*Physica D: Nonlinear Phenomena*doi:10.1016/j.physd.2016.03.011.

- The preprint is available on arXiv:1505.07316.

### Gauss elimination

The purpose of this note is to clarify questions and statements in class, and a step-by-step way to find an LU decomposition by hand.

### Polynomial interpolation

The purpose of this note is to clarify questions and statements in class, and to provide detailed procedures to find polynomial interpolations.

### Carleson measure

This note is taken in the PDE discussion group in 2012, on the topic of important spaces in fluid dynamics.

Lecture 2: Carleson measure

### An introduction to BMO Space

This note is taken in the PDE discussion group in 2012, on the topic of important spaces in fluid dynamics.

Lecture 1: An introduction to BMO Space

### Ph.D. Defense

I have finished my Ph.D. defense today. My committees are Prof. Eitan Tadmor (Chair/Advisor), Prof. Pierre-Emmanuel Jabin, Prof. Dave Levermore, Prof. Antoine Mellet and Prof. Howard Elman (Dean's representative).

My thesis title is, **Multi-scale problems on collective dynamics and image processing**. The manuscript can be found doi:10.13016/M2WG6T.

### Critical thresholds in flocking hydrodynamics with nonlocal alignment

- This is a joint work with
*Eitan Tadmor*. - The paper has been published in
*Philosophical Transactions of the Royal Society A*doi:10.1098/rsta.2013.0401.

- The preprint is available on arXiv:1403.0991.

### An exact rescaling velocity method for some kinetic flocking models.

- This is a joint work with
*Thomas Rey*. - The paper has been published in
*SIAM Journal on Numerical Analysis*doi:10.1137/140993430.

- The preprint is available on arXiv:1410.7617.

### Leave me a message

Feel free to leave a message or start a discussion here.

### Lovett instructor of Mathematics

I have recently accepted a 3-year Lovett instructor of Mathematics in Rice University. I will work with Professor Alex Kiselev.