Faculty Profiles

Du, Jian

Associate Professor
,
Mathematical Sciences

Educational Background

Ph.D. Stony Brook University, 2007

Course Fall 2019

MTH 4311 Numerical Analysis

MTH 5301 Numerical Analysis

Current 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.

Select 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.