My research has been on modeling and computation of soft matter and complex fluids with applications to complex fluid flows, complex biological systems, and materials science. Soft matter and complex fluids are ubiquitous in nature and in synthesized materials. Modeling and simulation of complex fluids has been listed as one of the 21st century mathematical challenges by DARPA lately. My group has also been conducting research on developing efficient and stable numerical methods for the partial differential equations arisen from modeling the complex systems.
There has not been a widely accepted definition for complex fluids. The best way to define them is to describe features of these fluids. So far, there are several descriptions for complex fluids.
ü A fluid made up of a lot of different kinds of stuff; defining feature of a complex fluid is the presence of a mesoscopic length scale which necessarily plays a key role in determining the properties of the system. (Gelbart et al, J. P. C. 1996).
ü Complex fluids are fluids that are homogeneous at macroscopic scales and disordered at microscopic scales, but possess structure on a mesoscopic length scale. Mesoscopic scale dynamics or physics dominates the materials properties.
ü Complex fluids are also known in the physics community as the soft matter, the matter between fluids and ideal solids. Soft condensed matter is a fluid in which large groups of the elementary molecules have been constrained so that the permutation freedom within the group is lost. (T. A. Witten, Reviews of Modern Physics, 1998).
ü They are typically very susceptible to external forces such as stresses and strains, electric and magnetic fields, or to thermal fluctuations.
Examples of complex fluids include egg yolks, glues, shampoos, biofilms, polymer solutions, polymer melts, hydrogels, surfactant solutions such as micellar solutions and micro-emulsions, colloidal suspensions such as ink, milk, foams, and emulsions, blood flows, mucus, muscles, cytoplasm, cells, granular materials at certain scales, etc. Many remarkable manmade materials are produced through processing of complex fluids. Due to their complex molecular compositions, configurations, and intra as well as intermolecular interaction, the materials may exhibit a plethora of fascinating mesoscopic structures in equilibrium and transient, which lead to extraordinary material properties. My research focuses on developing the state-of-the-art mathematical and computational models, analysis as well as cutting-edge simulation tools to study the properties of the soft matter and complex fluids to gain further understanding of the fascinating phenomena.
1. Fluid Dynamics and rheology of complex fluids, especially, flows of active liquid crystals, biaxial liquid crystals, phase transition, pattern formation and defect dynamics of liquid crystalline polymers.
2. Non-equilibrium thermodynamics theories and analyses for polymer blends, multiphase complex fluids and flows, and hybrid materials.
3. Multiscale theory, kinetic theory and continuum theory for flows of complex fluids and rheology of flowing nanocomposite materials.
4. Characterization of mechanical and electric properties of hybrid materials; transport phenomena in meso and nanoscales
5. Modeling and computation of renewable (green) energy, especially, biofuel processing.
6. Modeling and computation of complex biological systems, complex biofluids (biofilms, biogels), and cellular dynamics (cell motility, migration, and fusion).
7. Parallel computation of complex fluid flow systems and CPU-GPU hybrid computing.
8. Wave propagation in anisotropic media; electron transport in heterogeneous media.
9. Modeling and simulation of complex networks with applications in materials and biology.
My research has been partially supported by grants from AFOSR (Air Force Office of Scientific Research), NIH (National Institute of Health), NSF (National Science Foundation), University of South Carolina VPR’s office and SC EPSCOR.
Research Laboratory: Computational Nanoscience and Mathematical Modeling Laboratory is located in the Nanocenter at USC (SUM 103). The lab members are listed below.
Current Ph.D. Students in CNMML:
Ms. Xueping Zhao, expected to graduate in 2018.
Mr. Aditya K. Harish, expected to graduate in 2019.
Current Postdoctoral Associates in CNMM Lab:
Dr. Jia Zhao, Modeling and simulation of complex systems and numerical analysis of partial differential equations.
Our research is suorted by a state-of-the-art midrange hybrid HPC cluster: Boltzmann with over several hundred compute cores and Tesla GPUs ranging from M2090 to K80. Cuda, C, C++, Fortran, Open ACC compiler are available together with a plethora of software packages ranging from FLUENT, POLYFLOW, COMSOL, GAUSSIAN, Q-CHME, C^2FD (Computational Complex Fluid Dynamics, an in-house software package developed by my group) etc.
Peer Reviewed Papers:
1.Xiaofeng Yang, Jia Zhao, and Qi Wang, Linear and Unconditionally Energy Stable Schemes for Molecular Beam Epitaxial Growth Model Based on Invariant Energy Quadratization Methods, Journal of Computational Physics, in press, 2017.
2.Jia Zhao, Xiaofeng Yang, Yuezheng Gong, and Qi Wang, A Novel Linear Second Order Unconditionally Energy-stable Scheme for a Hydrodynamic Q-tensor Model of Liquid Crystals, Computer Methods in Applied Mechanics and Engineering, in press 2017.
3.Xiaogang Yang and Qi Wang, Structures and basic patterns in cavity flows of active liquid crystals. Computers and Fluids, 2017.
4.Jia Zhao and Qi Wang, 3-D Numerical Simulations of Biofilm Dynamics with Quorum Sensing in a Flow Cell, Bulletin of Mathematical Biology, 2017.
5.Yuezheng Gong, Jia Zhao, and Qi Wang, Linear Second Order in Time Energy Stable Schemes for Hydrodynamic Models of Binary Mixtures Based on a Spatially Pseudo-spectral Approximation，Advances in Computational Mathematics, 2017.
6.Xiaofeng Yang, Jia Zhao, Qi Wang, Jie Shen, Numerical Approximations for a three-component Cahn-Hilliard phase-field Model based on the Invariant Energy Quadratization method, Mathematical Models and Methods in Applied Sciences, 2017.
7.Yuezheng Gong, Qi Wang, and Zhu Wang, Structure-Preserving Galerkin POD Reduced-Order Modeling of Hamiltonian Systems, Computer Methods in Mechanics and Engineering, 315, 2017780-798.
8.Xiaogang Yang and Qi Wang, Role of Active Viscosity and Self-propelling Speed on Channel Flows of Active Polar Liquid Crystals, Soft Matter, 2016, 12, 1262 - 1278.
9.Jia Zhao, Ya Shen, Markus Haapasalo, Zhejun Wang, and Qi Wang, A 3D Numerical Study of Antimicrobial Persistence in Heterogeneous Multi-species Biofilms. Journal of Theoretical Biology, 2016, 392, 83–98.
10.Jia Zhao and Qi Wang, Semi-Discrete Energy-Stable Schemes for a Tensor-Based Hydrodynamic Model of Nematic Liquid Crystal Flows. Journal of Scientific Computing, 68(3), 2016, 1241-1266.
11.Jia Zhao and Qi Wang, A 3D Hydrodynamic Model for Cytokinesis of Eukaryotic Cells, Communication in Computational Physics, 2016, 19(3), 663-681.
12.Jia Zhao and Qi Wang, Modeling and Simulations of Cytokinesis of Eukaryotic Cells, International Journal for Numerical Methods in Biomedical Engineering, 2016，DOI: 10.1002/cnm.2774.
13.Xiaogang Yang, Jun Li, M. G. Forest, and Qi Wang, Hydrodynamic Theories for Flows of Active Liquid Crystals and the Generalized Onsager Principle, Entropy, 2016, 18, 202.
14.Kapustina, M., Tsygankov, J., Zhao, J., Yang, X., Chen, A., Roach, N., Wessler, T., Elston, T.C., Wang, Q., Jacobson, K., Forest, G., Modeling the excess cell surface stored in a complex morphology of bleb-like protrusions. PLOS Computational Biology, 12(3):e1004841.
15.Jia Zhao, Xiaofeng Yang, Jun Li and Qi Wang, Energy stable numerical schemes for a hydrodynamic model of nematic liquid crystals. Siam Journal on Scientific Computing, 38(5):3264-3290, 2016.
16.Ya Shen, Jia Zhao, César de la Fuente-Núñez, Zhejun Wang, Robert E. W. Hancock, Clive R. Roberts, Jingzhi Ma, Jun Li, Markus Haapasalo and Qi Wang, Development and Experimental Validation of a Model for Oral Multispecies Biofilm Recovery after Chlorhexidine Treatment, Scientific Reports, 6, (2016), 27537.
17.Yuezheng Gong, Xinfeng Liu, and Qi Wang, Fully Discretized Energy Stable Schemes for Hydrodynamic Models of Two-phase Viscous Fluid Flows, Journal of Scientific Computing, 2016, DOI10.1007/s10915-016-0224-7.
18.Jia Zhao, Qi Wang, and Xiaofeng Yang, Numerical Approximations to a New Phase Field Model for Immiscible Mixtures of Nematic Liquid Crystals and Viscous Fluids, Computer Methods in Alied Mechanics and Engineering, 310:77-97,2016.
19.Jia Zhao, P. Seeluangsawat , and Qi Wang, A hydrodynamic model for biofilms accounting for persisters and susceptibles, Mathematics of Biosciences, 282:1-15, 2016.
20.Jia Zhao, Huiyuan Li, Qi Wang, and Xiaofeng Yang, A Linearly Decoupled Energy Stable Scheme for Phase Field Models of Three-phase Incompressible Viscous Fluid Flows, Journal of Scientific Computing, in press, 2016.
21.Jia Zhao, Tianyu Zhang, and Qi Wang, Treatment of Biofilms by Nanotechnology and Applications to Food Science, NANOTECHNOLOGY IN FOOD SCIENCESE, editor, Van de Voorde Marcel, Springer-Verlag, Berlin, in press, 2016.
22.Noraza liza Mohd Jamil and Qi Wang, One-Dimensional Simulation of Diffusion and Advection Effects in Enzymatic Hydrolysis of Cellulose, American Journal of Alied Sciences. In press, 2016.
23.Xiaofeng Yang, Jia Zhao, and Qi Wang, Numerical Approximations for a phase field dendritic Growth Model Based on the Invariant Energy Quadratization Approach, International journal for Numerical Methods in Engineering, in press, 2016.
24.Yuezheng Gong, Qi Wang, Yushun Wang, Jiaxiang Cai, A conservative Fourier pseudo-spectral method for the nonlinear Schrodinger equation, Journal of Computational Physics, in press, 2016.
25.Guanghua Ji, M. G. Forest, and Qi Wang, Formation in Sheared Polymer-Rod Nanocomposites, Discrete and Continuous Dynamical Systems-Series D, 8(2), 2015, 341-379.
26.M. G. Forest, Qi Wang, and Ruhai Zhou, Kinetic attractor phase diagrams of active nematic suspensions: the dilute regime, Soft Matter, 11, (2015), 6393 – 6402.
27.Jia Zhao, Xiaofeng Yang, Jie Shen, Qi Wang, A Decoupled Energy Stable Scheme for a Hydrodynamic Phase-field Model of Mixtures of Nematic Liquid Crystals and Viscous Fluids. Journal of Computational Physics, 305, (2015), 539-556.
28.Hua Jiang, Hao Yang, Jun Zeng, Zhiyuan Zhou, Jin Peng, Qi Wang, Analytic Oncology, Electron J Metab Nutr Cancer，Jun. 2015，Vol. 2， No. 2, 26-30.
29.Chen Chen, Dacheng Ren, Mingming Ren and Qi Wang, 3-D Spatial-Temporal Structures of Biofilms in A Water Channel, Mathematical Methods in the Applied Sciences, 38 (18), 2015, 4461-4478.
30.M. G. Forest, Panon Phuworawong, Qi Wang, and Ruhai Zhou, Rheology of active polar and apolar liquid crystalline suspensions Philo Trans of Royal Society A, 2014, 372:20130362.
31.Xiaogang Yang and Qi Wang, Capillary Instability of an Active Liquid Crystal Jet, Soft Matter, 10, 2014, 6758-6776.
32.Xiaogang Yang, M. G. Forest, and Qi Wang, Near Equilibrium Dynamics and 1-D Spatial-Temporal Structures of Polar Active Liquid Crystals, Chinese Phys. B, 2014, 23 (11): 117502.
33.Jie Shen, Xiaofeng Yang and Qi Wang, Mass Conserved Phase Field Model for Binary Fluids, Communication in Computational Physics, 13 (2013) 1045-1065.
34.M. Gregory Forest, Q. Wang and X. Yang, LCP droplet dispersions: a two-phase diffuse-interface kinetic theory and global droplet defect predictions, Soft Matter, 8(37): 9642-9660.
35.Xiaofeng Yang, M. Gregory Forest, Huiyuan Li, Chun Liu, Jie Shen, Qi Wang, and Falai Chen, Numerical Investigation of the Dynamics of drop formation and pitch-off using a phase-field model for two-phase complex fluids, Journal of Computational Physics, 236, 2013, 1-14.
36.Chen Chen and Qi Wang, 3-D Pattern Formation in Biofilms, Contemporary Mathematics (586), 2013, 105-116.
37.Yi Sun and Qi Wang, Modeling and Simulations of Multicellular Aggregate Self-assembly in Biofabrication Using Kinetic Monte Carlo Methods, Soft Matter, 2013, 9, 2172-2186.
38.M. G. Forest, R. Zhou, and Q. Wang, Kinetic theory and simulations of active polar liquid crystalline polymers, Soft Matter, 2013, 9 (21), 5207 - 5222.
39.Xiaofeng Yang, Yi Sun, and Qi Wang, Phase Field Aroach for Multicellular Aggregate Fusion in Biofabrication, Journal of Biomedical Engineering, 135(7), 2013, 071005.
40.Jun Li and Qi Wang, Mass Conservation and Energy Dissipation Issue in a Class of Phase Field Models for Multiphase Fluids, Journal of Alied Mechanics, 81(2), 2013, 021004.
41.Xinfeng Liu, Sara Johnson, Shou Liu, Deepak Kanojia, Wei Yue, Udai Singn, Qian Wang,Qi Wang, Qing Nie, and Hexin Chen, Nonlinear Growth Kinetics of Breast Cancer Stem Cells: Implications for Cancer Stem Cell Targeted Therapy, Scientific Reports, (2013), 3:2473.
42.Yi Sun, Xiaofeng Yang, and Qi Wang, In-Silico Analysis on Biofabricating Vascular Networks using Kinetic Monte Carlo Simulations. Biofabrication, 6, (2013), 015008.
43.Brandon Lindley, Qi Wang and Tianyu Zhang, A Multicomponent Hydrodynamic Models for Biofilm: 2-D Numerical Simulations of Growth and Interaction with Flows, Physical Review E, (2012), E 85, 031908.
44.Q. Wang and X. Yang, David Adalsteinsson, T. Elston, K. Jacobson, Maria Maryna, M. G. Forest, Computational and Modeling Strategies for Cell Motility, COMPUTATIONAL MODELING of BIOLOGICAL SYSTEMS, edited by Nikolay Dokholyan, Springer, New York, 2012, 257-296.
45.George G P Xiang, Jianyang Liu, and Q. Wang, A Variational Derivation of Risk-Adjusted Performance Measures, Journal of Risk, 15 (2), 2012/13.
46.Xiaofeng Yang, Vladimir Mironov, and Qi Wang, Modeling Fusion of Cellular Aggregates in Biofabrication Using Phase Field Theories, Journal of Theoretical Biology, 303 (21), 2012.
47.Q. Wang and T. Y. Zhang, Kinetic theories for Biofilms, Discrete and Continuous Dynamic Systems– Series B 17 (3) (2012), 1027-1059.
48.Brandon Lindley, Qi Wang, and Tianyu Zhang, A Multicomponent model for Biofilm-Drug Interaction, Discrete and Continuous Dynamic Systems- Series B, 15(2) (2011), 417-456.
49.Jun Li, M. G. Forest, Qi Wang and R. Zhou, A Kinetic Theory and Benchmark Predictions for Polymer Dispersed, Semi-Flexible Nanorods and Nanoplateletes, Physica D, 240(2) (2011), 114-130.
50.Zhenlu Cui and Qi Wang, Dynamics of chiral active liquid crystal polymers, Discrete and Continuous Dynamic Systems- Series B, 15(1) (2011), 45-60.
51.Jinsong Hua, Ping Lin, Chun, Liu, Qi Wang, Energy Law Preserving C^0 Finite Element Schemes for Phase Field Models in Two-phase Flow Computations, Journal of Computational Physics, 230 (19) (2011), 7115-7131.
52.Chen Chen, Mingming Ren, Ashok Srinivasan and Qi Wang, 3-D simulations of biofilm-solvent interaction, East Asian Journal on Applied Mathematics, 1 (2011), 197-214.
53.T S Little, V Mironov, A Nagy-Mehesz, R Markwald, Y Sugi, S M Lessner, M A Sutton, X Liu, Q Wang, X Yang, J O Blanchette, and M Skiles, Engineering a 3D, biological construct: representative research in the South Carolina Project for Organ Biofabrication, Biofabrication, 3 (2011).
54.M. G. Forest, Qingqing Liao, and Qi Wang, 2-D Kinetic Theory for Polymer Particulate Nanocomposites, Communications in Computational Physics, 7(2), (2010), 250-282.
55.Jun Li and Qi Wang, Flow Driven Dynamics of Sheared Flowing Polymer-Particulate Nanocomposites, Discrete and Continuous Dynamical Systems-Series A, 26 (4) (2010), 1359-1382.
56.T. Y. Zhang and Q. Wang, Cahn-Hilliard vs Singular Cahn-Hilliard Equations in Phase Field Modeling, Communications in Computational Physics, 7(2) (2010), 362-382.
57.Sarthok Sircar, Jun Li and Qi Wang, Biaxial Phases of Bent-core Liquid Crystal Polymers in Shear Flows, Communications in Mathematical Sciences, 8(3) (2010), 697-720.
58.Sarthok Sircar and Qi Wang, Transient rheological responses in sheared biaxial liquid crystals, Rheological Acta, 49(7) (2010), 699-717.
59.Xiaofeng Yang, M. Gregory Forest, William Mullins, and Qi Wang, 2-D Lid-driven Cavity Flow of Nematic Polymers: An unsteady Sea of Defects, Soft Matter, 6 (2010), 1138-1156.
60.Q. Wang and T. Y. Zhang, Mathematical models for biofilms, Communication in Solid State Physics, 150 (21-22) (2010), 1009-1022.
61.X. Yang, M. G. Forest, W. Mullins and Q. Wang, Dynamic defect morphology and hydrodynamics of sheared nematic polymers in two space dimensions, Journal of Rheology, 53 (2009), 592.
62.X. Yang, M. G. Forest, Q. Wang, W. Mullins, Quench sensitivity to defects and shear banding in nematic polymer film flows, Journal Non-Newtonain Fluid Mechanics, 159 (1-3) (2009), 115-129.
63.Q. Wang, Introduction to kinetic theory for complex fluids, MULTI-SCALE PHENOMENA IN COMPLEX FLUIDS: Modeling, Analysis and Numerical Simulation, Series in Contemporary Alied Mathematics (CAM)-vol 12, edited by Thomas Y Hou, Chun Liu, Jian-guo Liu, World Scientific, Singapore, 2009.
64.Jun Li, Sarthok Sircar, and Qi Wang, A Note on the Kinematics of Rigid Molecules in Linear Flow Fields and Kinetic Theory for Biaxial Liquid Crystal Polymers, International Journal of Emerging Multidisciplinary Fluid Mechanics, 1(2) (2009), 115-126.
65.Sarthok Sircar and Qi Wang, Dynamics and rheology of ellipsoidal suspensions in shear flows, Journal of Rheology, 53 (4) (2009), 819-859.
66.L. Nguyen, W. Yang, Q. Wang, and L. Hirst, Molecular dynamics simulation of F-actin reveals the role of cross-linkers in semi-flexible filament, Soft Matter, 5 (2009), 2033-2036.
67.T. Y. Zhang, N. Cogan, and Q. Wang, Phase Field Models for Biofilms. II. 2-D Numerical Simulations of Biofilm-Flow Interaction, Communications in Computational Physics, 4 (2008), 72-101.
68.Xiaofeng Yang, Zhenlu Cui, M. G. Forest, Qi Wang, and Jie Shen, Dimensional Robustness & Instability of Sheared Semi-dilute, Nano-rod Dispersions, Siam Journal on Multiscale Modeling and Simulation, 7 (2008), 622-654.
69.T. Y. Zhang, N. Cogan, and Q. Wang, Phase Field Models for Biofilms. I. Theory and 1-D simulations, Siam Journal on Applied Math., 69 (3) (2008), 641-669.
70.J. Lee, M. G. Forest, Q. Wang, and R. Zhou, Dipole-induced bi-stability and hysteresis in nanorod monolayers, Physics Letters A, 372 (2008), 3484-3487.
71.Sarthok Sircar and Qi Wang, Shear induced mesostructures in biaxial liquid crystal polymers, Physical Review E, 78 (2008), 061702.
72.A. Kataoka, B. C. W. Tanner, J. M. Macpherson, X. Xu, Q. Wang, M. Reginier, T. Daniel and P. B. Chase, Spatially explicit, nanomechanical models of the muscle half sarcomere: Implications for mechanical tuning in atrophy and fatigue, Acta Astronautica, 60 (2) (2007), 111-118.
73.H. Zhou, H. Wang, Q. Wang, and M. G. Forest, Characterization of stable kinetic equilibria of rigid, dipolar rod ensembles for coupled dipole-dipole and excluded-volume potentials, Nonlinearity, 20 (2007), 27-297.
74.M. G. Forest, Q. Wang, and R. Zhou, Monodomain dynamics for rigid rod & platelet suspensions in strongly coupled coplanar linear flow and magnetic, Journal of Rheology, 51 (2007), 1-21.
75.Q. Wang, Introduction to Constitutive Modeling of Macromolecules, DYNAMICS IN MODELS OF COARSENING, COAGULATION, CONDENSATION AND QUANTIZATION, Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore, edited by Weizhu Bao and Jian-guo Liu, World Scientific, Singapore, 2007.
76.M. G. Forest, R. Zhou, and Q. Wang, Nano-rod suspension flows: a 2D Smoluchowski-Navier-Stokes solver, International Journal of Numerical Analysis and modeling, 4 (3-4) (2007), 478-488.
77.H. Zhou, H. Wang, and Q. Wang, Nonparallel solutions of extended nematic polymers under an external field, Discrete and Continuous Dynamical Systems-Series B, 7 (4) (2007), 907-929.
78.H. Zhou, M. G. forest, and Q. Wang, Anchoring-induced texture & flow feedback of nematic polymers in shear cells, Discrete and Continuous Dynamical Systems-Series B, 8 (3) (2007), 707-733.
79.M. G. Forest, R. Zhou, and Q. Wang, Microscopic-Macroscopic Simulations of Rigid-Rod Polymer Hydrodynamics: Heterogeneity and Rheochaos, Siam Journal on Multiscale Modeling and Simulation, 6 (3) (2007), 858-878.
80.G Ji, Q. Wang, P. Zhang, H. Wang, and H. Zhou, Steady states of homogeneous, rigid, extended nematic polymers under imposed magnetic fields and their stability, Communications in Mathematical Sciences, 5(4) (2007), 917-950.
81.Z. Cui, M. G. Forest, and Q. Wang, On weak plane Couette and Poiseuille flows of rigid rod and platelet ensembles, Siam Journal on Applied Mathematics, 66(4) (2006), 1227-1260.
82.Z. Cui, M. C. Calderer, Q. Wang, A kinetic theory for flows of cholesteric liquid crystal polymers, Discrete and Continuous Dynamical Systems-Series B, 6 (2) (2006), 291-310.
83.Z. Cui and Q. Wang, A continuum mechanics model for flows of chiral nematic polymers and permeation flows, Journal of Non-Newtonian Fluid Mechanics, 128 (1) (2006), 44-61.
84.G. Ji, Q. Wang, P. Zhang, H. Zhou, Study of phase transition in homogeneous, rigid extended nematics and magnetic suspensions using an order-reduction method, Physics of Fluids, 18 (2006), 123103 (1-17).
85.M. G. Forest, S. Sircar, Q. Wang, and R. Zhou, Monodomain dynamics for rigid rod & platelet suspensions in strongly coupled coplanar linear flow and magnetic fields II: Kinetic theory , Physics of Fluids, 18 (10) 2006, 103102 (1-14).
86.X. Zheng, M. G. Forest, R. Zhou, and Q. Wang, Likelohood and expected -time statistica of monodomain attractors in sheared discotic and rodlike nematic polymers, Rheological Acta, 44 (3) (2005), 219-234.
87.X. Zheng, M. G. Forest, R. Lipton, R Zhou, and Q. Wang, Exact scaling laws for electrical conductivity properties of nematic polymer nano-composite monodomains, Advanced Functional Materials, 15 (4) (2005), 627-638.
88.R. Zhou, M. G. Forest, and Q. Wang, Kinetic structure simulations of nematic polymers in plane Couette cells, I: The algorithm and benchmarks, Siam Journal on Multiscale Modeling and Simulation, 3 (4) (2005), 853-870.
89.H. Zhou, M. G. Forest, X. Zheng, Q. Wang, and R. Lipton, Extension-enhanced conductivity of liquid crystalline polymer nano-composites, Macromolecular Symposia, 228 (2005), 81-89.
90.M. G. Forest, R. Zhou, Qi Wang, X. Zheng, and R. Lipton, Anisotropy and Heterogeneity of Nematic Polymer Nano-Composite Film Properties, IMA Volume 141, Moldeing of Soft Matter, ed. M. C. T. Claderer and E. M. Terenjev, Springer 85-98, 2005.
91.H. Zhou, H. Wang, M. G. Forest, and Q. Wang, A new proof on uniaxial equilibria of Smoluchowski equation for rodlike nematic polymers, Nonlinearity, 18 (2005), 2815-2825.
92.M. G. Forest, R. Zhou, and Q. Wang, Kinetic structure simulations of nematic polymers in plane Couette cells, II. SIAM MMS, 4 (2005), 1280-1304.
93.M. G. Forest, R. Zhou, Qi Wang, X. Zheng, and R. Lipton, Anisotropy and dynamics ranges in effective properties of sheared nematic polymer nano-composites, Advanced Functional Materials, 15 (2005), 2029-2035.
94.Q. Wang, S. Sircar, and H. Zhou, Steady state solutions of the Smoluchowski equation for nematic polymers under imposed fields, Communications in Mathematical Sciences, 4 (3) (2005), 605-620.
95.M. G. Forest and Q. Wang, Hydrodynamic theories for blends of flexible polymer and nematic polymers, Physical Review E, 72 (2005), 041805.
96.Q. Wang, M. G. Forest and R. Zhou, ``A hydrodynamic theory for solutions of nonhomogeneous nematic liquid crystalline polymers with density variations,'' Journal of Fluid Engineering, 126 (2004), 180-188.
97.M. G. Forest, Q. Wang, and R. Zhou, ``Weak shear phase diagram for nematic polymers,'' Rheological Acta, 43(1) (2004), 17-37.
98.M. G. Forest, R. Zhou, and Q. Wang, Scaling behavior of kinetic orientational distributions for dilute nematic polymers in weak shear, J. Non-Newtonian Fluid Mechanics, 116 (2004), 183-204.
99.M. G. Forest, Q. Wang, H. Zhou, and R. Zhou, Scaling Structure scaling properties of confined nematic polymers in plane Couette cells: the weak flow limit, Journal of Rheology, 48(1) (2004), 175-192.
100.M. C. Calderer, M. G. Forest, and Q. Wang, Kinetic Theories and Mesoscopic Models for Solutions of Nonhomogeneous Liquid Crystal Polymers, ournal. Non-Newtonian Fluid Mechanics, 120 (2004), 69-78.
101.M. G. Forest, Q. Wang, R. Zhou, and E. Coate, Monodomain response of arbitrary aspect ratio nematic polymers in general linear planar flows, Journal of Non-Newtonian Fluid Mechanics, 118(1) (2004), 17-31.
102.S. E. Bechtel, F. Rooney, and Q. Wang, A thermodynamic definition of pressure for incompressible viscous fluids, International Journal. of Engineering Science, 42 (19-20) (2004), 1987-1994.
103.M. G. Forest, Q. Wang, and R. Zhou, The flow-phase diagram of Doi-Hess theory for sheared nematic polymers II: finite shear rates, Rheological Acta, 44 (1) (2004),80-93.
104.S. E. Bechtel, M. G. Forest, F. Rooney, and Q. Wang, Investigation of simplified thermal expansion models compressible Newtonian Fluids applied to nonisothermal plane Couette and Poisuille flows, Physics of Fluids, 16 (11) (2004), 3955-3974.
105.M. G. Forest, R. Zhou, and Q. Wang, Chaotic boundaries of nematic polymers in mixed shear and extensional flows, Physical Review Letters, 93 (8) (2004), 088301-088305.
106.M. G. Forest and Q. Wang, `` Monodomain response of finite-aspect-ratio macromolecules in shear and related linear flows'', Rheological Acta, 42 (2003), 20-46.
107.M. G. Forest, Q. Wang, and R. Zhou, ``Symmetries of the Doi kinetic theory for nematic polymers of finite and infinite aspect ratio: at rest and in linear flows,'' Physical Review E, 66(3) (2003), P031712.
108.M. G. Forest, Q. Wang, and R. Zhou, ``Explicit flow-aligned orientational distribution function for dilute nematic polymers in weak shear, RHEOLOGY AND FLUID MECHANICS OF NONLINEAR MATERIALS, edited by D. A. Siginer, D. DeKee, and S. Bakhatiyarov, ASME, New York, 2002.
109.M. G. Forest, Q. Wang, and R. Zhou, ``Full tensor alignment criteria for sheared nematic polymers'', Journal of Rheology, 47(1) (2003), 105-127.
110.S. E. Bechtel, M. G. Forest, F. J. Rooney, and Q. Wang, ``Thermal Expansion Models of Viscous Fluids Based on Limits of Free Energy'', Physics of Fluids, 15(9) (2003), 2681-2693.
111.Q. Wang, ``A hydrodynamic theory of nematic liquid crystalline polymers of different configurations'', Journal of Chemical Physics, 116 (2002), 9120-9136,
112.Qi Wang, Weinan E, Chun Liu, and Pingwen Zhang, `` Kinetic theories for flows of nonhomogeneous rodlike liquid crystalline polymers with a nonlocal intermolecular potential'', Physical Review E, 65(5) (2002), 0515041-0515047.
113.M. G. Forest, Q. Wang and H. Zhou, ``Methods for the exact construction of mesoscale spatial structures in liquid crystal polymers'', Physica D, 152 (2001), 288-309.
114.M. G. Forest, Q. Wang and H. Zhou, ``On the phase diagram for discotic liquid crystals in simple elongational flows'', Liquid Crystals, 28 (5) (2001), 717-720.
115.Q. Wang, ``The role of Surface Elasticity in Capillary Instability of Cylindrical Jets of Liquid Crystalline Polymers'', Journal of Non-Newtonian Fluid Mechanics, 100 (1-3) (2001), 97-114.
116.M. G. Forest, Q. Wang and H. Zhou, ``Homogeneous pattern selection and director instabilities of nematic liquid crystal polymers induced by elongational flows'', Physics of Fluids, 12 (3) (2000), 490-498.
117.Q. Wang, ``Special cylindrical free surface jets of liquid crystalline polymers and their stability'', Journal of Non-Newtonian Fluid Mechanics, 90 (2000), 25-45.
118.M. G. Forest, H. Zhou and Q. Wang, ``Thermotropic liquid crystalline polymer fibers'', Siam Journal on Applied Mathematics, 60(4) (2000), 1177-1204.
119.Q. Wang, ``Illposedness in thermomechanically consistent constrained theory for materials with prescribed temperature-dependent density'', Journal of Alied Mechanics, 67 (2000), 29-32.
120.M. G. Forest, Q. Wang and H. Zhou, ``Exact banded patterns from a Doi-Marrucci-Greco model of nematic liquid crystal polymers'', Physical Review E, 61 (6) (2000), 6655-6662.
121.S. E. Bechtel, M. G. Forest, Q. Wang and Hong Zhou, ``Free Surface Viscoelastic Fibers and Jets'', Advances in the Flow and Rheology of Non-Newtonian Fluids Parts A and B, Elsevier Science, 1999, 1069-1116.
122.Q. Wang and M. G. Forest, ``Near-equilibrium dynamics of Doi models for liquid crystal polymer flows: catastrophic and regularized behavior'', Journal of Non-Newtonian Fluid Mechanics, 83 (1999), 131-150.
123.M. G. Forest, H. Zhou and Q. Wang, A model study of the spinning of thermotropic liquid crystalline polymers: fiber performance predictions and bounds on throughput, Advances in Polymer Technology, 18 (4) (1999), 314-335.
124.M. G. Forest, Q. Wang and H. Zhou, ``Nonhomogeneous patterns and core defects in elongational flows of liquid crystalline polymers'', Journal of Rheology, 43 (6) (1999), 1573-1583.
125.M. G. Forest and Q. Wang, ``The Role of Microstructure in Taming the Raleigh Instability of Cylindrical Jets'', Physica D, 123 (1998), 161-182.
126.M. G. Forest and Q. Wang, ``Anisotropic microstructure-induced reduction of the Raleigh instability for liquid crystalline polymers'', Physics Letters A, 245 (1998), 518-526.
127.Q. Wang, M. G. Forest and H. Zhou, ``Dynamics of free surface and pure elongational flows of liquid crystalline polymers'', Rheology and Fluid Mechanics of Nonlinear Materials, edited by D. A. Siginer and D. DeKee, FED-Vol 246, MD-Vol 81, ASME, New York, 1998, 101-114.
128.M. G. Forest, Q. Wang, and S. E. Bechtel, ``1-D Models for Thin Filaments of Liquid Crystalline Polymers: Coupling of Orientation and Flow in the Stability of Simple Solutions'', Physica D, 99 (4) (1997), 527-554.
129.M. G. Forest, Q. Wang, and S. E. Bechtel, ``1 Dimensional Isothermal Spinning Models for Liquid Crystalline Polymer Fibers'', Journal of Rheology, 41 (1997), 821-850.
130.Q. Wang, ``Comparative Studies on Closure Approximations in Flows of Liquid Crystal Polymers. I. Elongational Flows'', Journal of Non-Newtonian Fluid Mechanics, 72 (1997), 141-162.
131.Q. Wang, ``Comparative Studies on Closure Approximations in Flows of Liquid Crystal Polymers. II. Fiber Flows'', Journal of Non-Newtonian Fluid Mechanics, 72 (1997), 163-185.
132.Q. Wang, ``Biaxial Steady States and Their Stability in Shear Flows of Liquid Crystal Polymers'', Journal of Rheology, 41 (1997), 943-970.
133.Q. Wang, ``Couette Flows of Liquid Crystal Polymers'', Rheology and Fluid Mechanics of Nonlinear Materials, edited by D. A. Siginer and S. G. Advani, AMD-Vol. 217, ASME, New York, 1996, 109-122.
134.Q. Wang, ``Interfacial Instability in Core-Annular Johnson-Segalman Flows'', Developments in Non-Newtonian Flows, edited by D. A. Signer and H. P. Wang, FED-Vol 231 AMD-Vol 66, ASME, New York, 1995, 53-63.
135.Q. Wang, S. E Bechtel and M. G. Forest, ``Modeling and Computation of the Onset of Failure in Polymeric Liquid Filaments'', Journal of Non-Newtonian Fluid Mechanics, 58 (1995), 97-129.
136.M. G. Forest and Q. Wang, ``Dynamics of Viscoelastic Slender Jets'', Siam Journal on Alied Mathematics, 54 (4) (1994), 996-1033.
137.M. G. Forest and Q. Wang, ``Numerical Simulation of Nonisothermal Fiber Spinning Processes'', Recent Advances In Non-Newtonian Flows, edited by G. C. Vradis and D. A. Signer, FED-Vol 179, ASME, New York, 1994, 11-21.
138.Q. Wang, M. G. Forest, and S. E. Bechtel, ``1-D models of Thin Filaments of Polymeric Liquid Crystals'', Developments in Non-Newtonian Flows, edited by D. A. Signer and S. E. Bechtel, AMD-Vol 191, FED-Vol 206, ASME, New York, 1994, 109-118.
139.Q. Wang, M. G. Forest, and S. E. Bechtel, ``Modeling Onset of Failure in Polymeric Liquid Filaments '', Developments in Non-Newtonian Flows, edited by D. A. Signer and S. E. Bechtel, AMD-Vol 191, FED-Vol 206, ASME, New York, 1994, 97-108.
140.S. E. Bechtel, M. G. Forest, and Q. Wang, `` Non-isothermal Modeling of Fiber Spinning'', Recent Advances in Non-Newtonian Flows, edited by D. A. Siginer, AMD-Vol. 153, FED-Vol. 141, ASME, New York, 1992, 37-48.
141.M. G. Forest and Q. Wang, ``Change-of-Type Behavior in Viscoelastic Slender Jet Models'', Theoretical and Computational Fluid Dynamics, 2 (1990), 1-25.
142.Xiaogang Yang, Jun Li, Robert S. Eisenberg, Qi Wang, Quasi-compressible Ionic Fluid Models. Phys. Rev. E, in revision 2016.
143.Norazaliza mohd Jamil and Qi Wang, CFD-PBE Modelling and Simulation of Enzymatic Hydrolysis of Cellulose in a Stirred Tank, Journal of Mathematics and Statistics, 2016.
144.Yuezheng Gong, Jia Zhao, and Qi Wang, An Energy Stable Algorithm for the Quasi-incompressible Hydrodynamic Model of Viscous Fluid Mixtures, Computer Physics Communications, 2016.
145.Xiaogang Yang, Yuezheng Gong, Jun Li, Jia Zhao, and Qi Wang, Comparison of Hydrodynamic Phase Field Models for Binary Fluid Mixtures, Physical Review E, 2017.
146.Yuezheng Gong, Jia Zhao, Xiaogang Yang and Qi Wang, Second-order Linear Schemes for Hydrodynamic Phase Field Models of Binary Viscous Fluids with Variable Densities, Siam Journal on Scientific Computing, 2017.
147.Yuezheng Gong, Yushun Wang, and Qi Wang. Linear Momentum-preserving Schemes for Hamiltonian PDEs, Applied Numerical Mathematics, 2017.
148.E. A. Bulanova, E. V. Koudan, J. Degosserie, C. Heymans, F. D. Pereira, V. A. Parfenov, Yi Sun, Qi Wang, S. A. Akhmedova , N. S. Sergeeva, G. A. Frank, Y. D. Khesuani, C. E. Pierreux, V. A. Mironov. Bioprinting of functional and vascularized mouse thyroid gland construct, PNAS, 2017.
149.Jia Zhao, M. Greg Forest and Qi Wang. A 3D Active Matter Model for Cytokinesis of Eukaryotes, Journal of Mathematical Biology, 2017.
150.Q. Wang, On a 1-D Thin Filament Model for Liquid Crystal Polymers, Proceedings of the 14th Imacs World Congress, edited by W. F. Ames, Georgia Tech, July 11-15, 1994 986-988.
151.Q. Wang, Stability of Thin Filament Flows of Polymeric Liquid Crystals, Proceedings of ICIAM 95, Hamburg, Germany, July 4-7, 1995.
152.S. Heidenreich, S. Hess, R. Zhou, S. H. L. Kla, Q. Wang, H. Zhou, X. Yang and M. G. Forest, Orientational dynamics driven oscillatory hydrodynamical jets in the flow of nano-rods, Proceedings of the XV-th International Congress of Rheology, 2008.
153.Dacheng Ren, Qi Wang, and Yan-Yeung Luk, Collaborative Research: Investigating Bacteria-Surface Interactions by Surface Engineering and Mathematical Modeling, Proceedings of 2010 NSF Engineering Research and Innovation Conference, Hawaii, 2010.
154.Dacheng Ren, Qi Wang, and Yan-Yeung Luk, Collaborative Research: Investigating Bacteria-Surface Interactions by Surface Engineering and Mathematical Modeling, Proceedings of 2011 NSF Engineering Research and Innovation Conference, Atlanta, Georgia, 2011.
155.Zhenlu Cui, Qi Wang, and Jianbin Su, Oscillatory shear rheology of chiral liquid crystal polymers, SPIE, 2009.
Special issues and books edited
156.W. Kang, K. Liang, Q. Wang, Special Issue for Discrete and Continuous Dynamical System-Series B, 8 (3), 2007.
157.An Chang Shi, Qi Wang, and Pingwen Zhang, Structure Formation and Evolution in Soft Matter/Complex Fluid Systems, Communications in Computational Physics, 2009.
158.Qi Wang and Xiaofeng Yang, Theoretical and Computational Modeling of Complex Fluids/Soft Matter, Discrete and Continuous Dynamical System-Series B, 2011.
159.Qi Wang, Trends in Applied Mathematics, Mathematical Methods in the Applied Sciences,