Faculty Profiles

Du, Jian

Assistant Professor, Mathematical Sciences

Educational Background

Ph.D. Stony Brook University, New York
M.S. Stony Brook University, New York
B.S. Wuhan University, P.R. China

Recognition & Awards

Sigma Xi Award for Excellence in Research

Current Courses

MTH 4201 Models in Applied Mathematics

MTH 5315 Numerical Methods for Partial Differential Equation

Current Research

1. Mathematical biology, modeling and numerical algorithms for biological fluid, multiphase flow and fluid-structure interactions. Development of models and computational methods to explore problems in biology that involve complex fluids such as platelet aggregation and biological locomotion. 
2. Numerical analysis and scienti c computing. Front tracking method for system of conservation laws and magnetohydrodynamics.

Selected Publications

[1] An Immersed Boundary Method for Two- uid Mixtures. Jian Du, Aaron Fogelson, Robert Guy, Journal of Computational Physics, to appear.

[2] An Interface-Capturing Regularization Method for Solving the Equations for Two-Fluid Mixtures. Jian Du, Robert Guy, Aaron Fogelson, Grady Wright, James Keener, Commun. Comput. Phys., 14 (2013), pp. 1322-1346.

[3] Low Reynolds-Number Swimming in Two-phase Fluids. Jian Du, James Keener, Robert Guy, Aaron Fogelson, Physical Review E 85, 036304 (2012).

[4] A Parallel Computational Method for Simulating Two-phase Gel Dynamics on a Staggered Grid. Jian Du, Aaron Fogelson, Grady Wright, International Journal for Numerical Methods in Fluids, 60 (2009), pp. 633-649.

[5] A Numerical Algorithm for MHD in Ablated Material. Tianshi Lu, Jian Du, Roman Samulyak, Journal of Nanoscience and Nanotechnology, 8 (2008), pp. 3674-3685.

[6] A Numerical Algorithm for MHD of Free Surface Flows at Low Magnetic Reynolds Numbers. Roman Samulyak, Jian Du, James Glimm, Zhiliang Xu, Journal of Computational Physics 226 (2007), pp. 1532-1549.

[7] A Simple Package for Front Tracking. Jian Du, Brian Fix, James Glimm, Xiaolin Li, et al., Journal of Computational Physics 213 (2006), pp. 613-628.