Research

## Research

Here are the latest updates for Changhui Tan's research profile.

Here is the Curriculum Vitae and List of Publications.

Tuesday, 28 October 2014 14:41

### 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.

Monday, 15 September 2014 22:45

### A discontinuous Galerkin method on kinetic flocking models

Thursday, 17 April 2014 15:01

### 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.

Wednesday, 05 March 2014 14:50

### 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.

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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