Du, Jian
Jian Du
Associate Professor | College of Engineering and Science - Mathematics and Systems Engineering
Program Chair of Applied Mathematics | Department of Mathematical Sciences
Contact Information
Educational Background
Ph.D. Stony Brook University, 2007
Professional Experience
Associate Professor, Florida Institute of Technology, 2018-present
Assistant Professor, Florida Institute of Technology, 2012-2018
Current Courses
MTH 4201 Models in Applied Mathematics
MTH 5315 Numerical Methods for Partial Differential Equations
Selected Publications
(Co-authors marked with * are my PhD students)
[1] Modeling and Simulation of the Ion-Binding-Mediated Swelling Dynamics of Mucin-like Poly-electrolyte Gels. Jian Du, Owen Lewis, James Keener, Aaron Fogelson, Gels, 2021, accepted for publication.
[2] Enhancement of Active Swimming Near Fluid Interfaces. Avriel Cartwright*, Jian Du, ISAIC 2021.
[3] Low Reynolds Number Swimming Near Interfaces in Multi-Fluid Media. Avriel Cartwright*, Jian Du, Applied Sciences, 11 (2021), 9109.
[4] Computational Investigation of Platelet Thrombus Mechanics and Stability in Stenotic Channels. Jian Du, Elise Aspray*, Aaron Fogelson, Journal of Biomechanics, 122 (2021), 110398.
[5] Low Reynolds Number Swimming with Slip Boundary Conditions. Hashim Alshehri*, Nesreen Althobaiti*, Jian Du, International Conference on Computational Science, 12141 (2020), pp. 149–162.
[6] 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.
[7] 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.
[8] 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.
[9] An Immersed Boundary Method for Two-fluid Mixtures. Jian Du, Aaron Fogelson, Robert Guy, Journal of Computational Physics, 262 (2014), pp. 231-243.
[10] Low Reynolds-Number Swimming in Two-phase Fluids. Jian Du, James Keener, Robert Guy, Aaron Fogelson, Physical Review E 85 (2012), 036304.
[11] 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.
[12] 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 $169,108.
[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.