Research

## Changhui Tan

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

Wednesday, 30 August 2017 21:56

### Singularity formation for a fluid mechanics model with nonlocal velocity

Monday, 24 July 2017 22:04

### Global regularity for 1D Eulerian dynamics with singular interaction forces

• This is a joint work with Alexander Kiselev.
• The paper has been published in SIAM Journal on Mathematical Analysis doi:10.1137/17M1141515.

Friday, 30 June 2017 19:32

### An asymptotic preserving scheme for kinetic models with singular limit

• This is a joint work with Alina Chertock and Bokai Yan.
• The paper has been published in Kinetic and Related Models doi:10.3934/krm.2018030.

Wednesday, 18 January 2017 22:08

### Global regularity for the fractional Euler alignment system

• This is a joint work with Tam Do, Alexander Kiselev and Lenya Ryzhik.
• The paper has been published in Archive for Rational Mechanics and Analysis doi:10.1007/s00205-017-1184-2.

Wednesday, 05 October 2016 17:24

### Linearly independency for exponential functions

This is a supplementary notes for MATH211 ODE and Linear Algebra.

Tuesday, 20 September 2016 18:43

### Display the part of the graph beyond the axis limit in Matlab

When I tried to manually adjust the axis limits of a graph, Matlab will automatically cut off the part of the graph that is beyond the axis limits. This didn't happen before (and before means 2014a or earlier versions). I took a little while to find the cure. Just try the following scripts.

ax = gca;
ax.Clipping = 'off';
Tuesday, 13 September 2016 23:25

### Change default mail app in OS X

Here is the steps to change default mail app in OS X:

1. Open Mail app.
2. Select Preferences -> General. Under "Default email reader", select your preferred mail app.

I am running into a problem by following the steps: the default email reader changes back to the original mail app seconds after I made the change. Here is the solution that works for me. Open terminal. Copy and paste the following script.

/System/Library/Frameworks/CoreServices.framework/Versions/A/Frameworks/LaunchServices.framework/Versions/A/Support/lsregister -kill -r -all local,system,user

Then try step 1-2 again, and it won't change back again!

Thursday, 08 September 2016 20:27

### Finite time blow up in the hyperbolic Boussinesq system

Thursday, 30 July 2009 01:02

### Application of natural neighbor interpolation method in three-dimensional geological model

• This is a joint work with Yan-jun Guo, Mao Pan, Fei Yan, Zhe Wang and Tiao Lu.
• The paper has been published in Joumal of PLA University of Science and Technology(Natural Science Edition) doi:10.3969/j.issn.1009-3443.2009.06.026.
Wednesday, 01 August 2012 10:24

### Hierarchical construction of bounded solutions to divU = F

• This is a joint work with Eitan Tadmor.
• It has been published in a chapter of the book Nonlinear Partial Differential Equations, Volume 7 of the series Abel Symposia doi:10.1007/978-3-642-25361-4_14.

Here is an outline of the paper.

We propose a numerical approach to solve the minimization problem of the hierarchical decomposition introduced by Tadmor [Ta15], using duality to treat with $$L^{\infty}$$ norm inside. And then generate the uniformly bounded solution of $$\nabla\cdot U = F$$ in actual computation.

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