Primary Position: Professor of Mathematics & Biomedical Engineering
Other Positions: Director of Carolina Center for Interdisciplinary Applied Mathematics, Co-Director of the Institute for Advanced Materials
- Professor, University of North Carolina at Chapel Hill, 1996-present
- Professor, Ohio State University, 1979-1996
- Ph.D., Mathematics, University of Arizona, August 1979
- M.S., Mathematics, University of New Orleans, December 1973
- B.S., Mathematics, University of New Orleans, May 1972
- A simple model for non-topological defects in sheared nematic polymer monodomains, (with E. Choate, L. Yao, X. Zheng, R. Zhou), Journal of Computational and Theoretical Nanosciences, Vol. 7, 787-794 (2010); special issue on Nematic Liquid Crystalline Polymers and Nanocomposites, edited by Forest, Zhou & Wang.
- Mathematical studies and simulations of nematic liquid crystalline polymers and nanocomposites (A review), (with H. Zhou, H. Wang), J. Comput. Theor. Nanosci. Vol. 7, 645-660 (2010); special issue on Nematic Liquid Crystalline Polymers and Nanocomposites, edited by Forest, Zhou & Wang.
- 2D Lid-driven cavity flow of nematic polymers: an unsteady sea of defects, (with X. Yang, Q. Wang, W. Mullins), Soft Matter DOI:10.1039/b908502e (2010).
- A 2-D kinetic theory for monodomain flows of polymer-rod nanocomposites, (with L. Liao, Q. Wang), Communications in Computational Physics, Vol. 7, No. 2, 250-282 (2010).
- Effects of strong anchoring on the dynamic moduli of heterogeneous nematic polymers II: Oblique anchoring angles, (with E. Choate, L. Ju), Rheologica Acta, DOI:10.1007/s00397-009-0397-1 (2010).
- Dynamic texture scaling of sheared nematic polymers in the large Ericksen number limit, (with S. Heidenreich, S. Hess, R. Zhou, X. Yang), J. Non-Newtonian Fluid Mechanics, Vol. 165 (13), 687-697 (2010).
- Spatial Stress and Strain Distributions of Viscoelastic Layers in Oscillatory Shear, (with B. Lindley, B. Smith, S. Mitran, D. Hill), Mathematics and Computers in Simulation, DOI:10.1016/j.matcom.2010.07.031 (2010).
- A Kinetic Theory and Benchmark Predictions for Polymer Dispersed, Semi-Flexible Macromolecular Rods or Platelets, (with J. Li, Q. Wang, R. Zhou), Physica D: Nonlinear Phenomena, Vol. 240, 114–130 (2011).
- Shearing the I-N phase transition of liquid crystalline polymers: long-time memory of defect initial data, (with K. Xu, X. Yang), Discrete and Continuous Dynamical Systems B, Vol. 15 (20), 457-473 (2011).
- Shear cell rupture of liquid crystal droplets in a viscous fluid, (with X. Yang, C. Liu, J. Shen), J. Non-Newtonian Fluid Mechanics, Vol. 166 (9-10), 487-499 (2011).
- Dependence of the dynamic moduli of heterogeneous nematic polymers on planar anchoring relative to flow direction, (with E. Choate), Rheol. Acta, Vol. 50 (9-10), 767-778 (2011).
- Computational and Modeling Strategies for Cell Motility, (with Q. Wang, X. Yang, D. Adalsteinsson, T. Elston, K. Jacobson, M. Kapustina), invited chapter for Computational Modeling of Biological Systems: From Molecules to Pathways, N. Dokholyan, Editor, Springer, ISBN 978-1-4614-2145-0
- LCP droplet dispersions: a two-phase, diffuse-interface kinetic theory and global droplet defect predictions, (with Q. Wang, X. Yang), Soft Matter, 2012, 8, 9642.
- Active microrheology of soft biological matter
- Passive microrheology of soft biological matter
- Nematic polymers, liquid crystals, nano-rod dispersions: their hydrodynamics and defect morphology
- Cell mechanics
- Network graph methods and statistical transport properties of nano-rod dispersions
- Antibody-Virus interactions
- Air-fluid pumping in conditions similar to human trachea