Research

My current mathematical interests include partial differential equations and their applications in complex fluids. I am now studying and working under the guidance of Prof. Chun Liu.

Here are the projects I have finished or am working on:

Some existence results on a dissipative system modeling flows of nematic liquid crystals.
Modeling and numerical simulations on the dynamics of mixed fluids using phase field method.
Motions of particles immersed in viscous fluids.

Interests other than my thesis topic:

C/C++/Matlab programming;
Searching and adapting linear algebra package for middle/small scale (10⁴ ~ 10⁶) sparse matrix computation;
Stochastic calculus.

I was also interested in matrix computations during my undergraduate studies at Fudan University and wrote a short note, which you can find in the publications below.

Publications:

On Energetic Variational Approaches in Modeling the Nematic Liquid Crystal Flows, with Chun Liu, DCDS-A (2008).

A note on the PageRank algorithm, with Yimin Wei, AMC (2006).