Jian Du

Associate Professor | Mathematical Sciences

Contact Information

jdu@fit.edu
(321) 674-8912
Frederick C. Crawford Bldg, 202A

Educational Background

Ph.D. Stony Brook University, 2007

Current Courses

MTH 4311 Numerical Analysis

MTH 5301 Numerical Analysis

Selected Publications

[1] Low Reynolds Number Swimming with Slip Boundary Conditions. Hashim Alshehri, Nesreen Althobaiti, Jian Du, Journal of Computational Science, 12141(2020), pp. 149–162.

[2] Clot Permeability, Agonist Transport, and Platelet Binding Kinetics in Arterial Thrombosis. Jian Du, Dongjune Kim, Ghadah Alhawael, David Ku, Aaron Fogelson, Biophysical Journal, 119(2020), pp. 2102-2115.

[3]  A Two-phase Mixture Model of Platelet Aggregation. Jian Du, Aaron Fogelson, Mathematical Medicine and Biology, 35 (2018), pp. 225-256. MMB Best Paper Award 2016-2017. 

[4]  Evolution of Interfaces for the Nonlinear Double Degenerate Parabolic Equation of Turbulent Filtration with Absorption. Ugur Abdulla, Jian Du, Adam Prinkey, Mathematics and Computers in Simulation, 153 (2018), pp. 59-82.

[5]  An Immersed Boundary Method for Two-fluid Mixtures. Jian Du, Aaron Fogelson, Robert Guy, Journal of Computational Physics, 262 (2014), pp. 231-243.

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

[7]  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.

[8]  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.

Research

Mathematical biology, modeling and numerical algorithms for biological fluid and fluid-structure interactions.

Current/Past Research Grants 

[1] Co-Investigator, NIH/NIGMS Grant (1R01GM131408), Modeling Gastric Mucus Layer Physiology, 2018 - 2022. Amount awarded to Florida Tech $170,108.

[2] Principal Investigator, NSF Mathematical Biology Grant (DMS-1715156), Collaborative Research: Blood Clotting at the Extreme - Mathematical and Experimental Investigation of Platelet Deposition in Stenotic Arteries, 2017 - 2020.  Amount awarded to Florida Tech $149,999.

[3] Co-Principal Investigator, NSF Focused Research Group Grant (DMS-1160432), Chemically-active Viscoelastic Mixture Models in Physiology: Formulation, Analysis, and Computation", 2012 - 2016.  Amount awarded to Florida Tech $87,000.