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.

**Current Projects: **

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.

**Research Grants:**

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.

**Computational
Facilities:**

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.

**Publications:**

__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 Math*ematics, 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 Math*ematics, 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.

__Papers
submitted__

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.

__Conference proceedings__

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*,
2015, 38(18).