Research interest
         My graduate research focuses on designing and analyzing Asymptotic-Preserving (AP) schemes for the kinetic systems involving different regimes. I have conducted various researches in different fields, such as the Boltzmann equation in kinetic theory, the Landau equation in plasma physics, the chemotaxis and flocking in biology, and the coupling of different phases in combustion theory.
 

Publications

Asymptotic-Preserving schemes for kinetic-fluid modeling of disperse two-phase flows with variable fluid density, (with T. Goudon, Shi Jin and Jian-Guo Liu), submitted.

A successive penalty-based asymptotic-preserving scheme for kinetic equations , (with Shi Jin), submitted.

An Asymptotic Preserving Scheme for the Diffusive Limit of Kinetic systems for Chemotaxis. (with Jose Carrillo), submitted.

Asymptotic-Preserving schemes for kinetic-fluid modeling of disperse two-phase flows , (with Thierry Goudon, Shi Jin and Jian-Guo Liu), submitted.

A numerical scheme for the quantum Fokker-Planck-Landau equation efficient in the fluid regime (with Jingwei Hu and Shi Jin), Comm. Comp. Phys., 12, 1541-1561, 2012.

Simulation of Fluid-Particles Flows: Heavy Particles, Flowing Regime and AP schemes. (with Thierry Goudon and Shi Jin), Comm. Math. Sci.,  10, 355-385, 2012.

A class of asymptotic-preserving schemes for the Fokker-Planck-Landau equation. (with Shi Jin), J. Comp. Phys. 230, 6420-6437, 2011.

Academic activities