MathLogoSmallHong Zhou's Publications


                                                                                                           
      

(Listed in reverse chronological order)

  1. "Optimization of electromagnetic wave propagation through a liquid crystal layer" (with E. Choate), Discrete and Continuous Dynamical Systems-Series S, in press
  2. "Gaussian beam propagation through a metamaterial lens", Universal Journal of Applied Mathematics, 2(4): 184-194, 2014
  3. "Numerical solution for a transient temperature distribution on a finite domain due to a dithering or rotating laser beam" (with T. Tan), International Journal of Operations Research and Information Systems, 4(4), 22-38, October-December 2013 (Sample PDF)
  4. "Parameter estimation for a thin layer by measuring temperature induced by a heat source" (with H. Wang), Journal of Mathematical and Computational Science, Vol. 3 Issue 6, pages 1353-1372, 2013 (PDF)
  5. "A numerical study on microwave coagulation therapy" (with A. Liu and W. Kang), Applied Mathematical Sciences, Vol. 7, no. 104, 5151-5164, 2013 (PDF)
  6. "Metabolic effect of an exogenous gene on transgenic beauveria bassiana using liquid chromatography-mass spectrometry-based metabolomics" (with F. Luo et al.), Journal of Agricultural and Food Chemistry, 61(28), pages 7008-7017, 2013 (PDF)
  7. "Laser-induced temperature rise in a composite sandwich structure" (with J. Pickett and A. Minut), Journal of Mathematical and Computational Science, Vol. 3 Issue 2, pages 577-593, 2013 (PDF)
  8. "Temperature rise in a two-layer structure induced by a rotating or dithering laser beam", Journal of Mathematical and Computational Science, Vol.2 Issue 2, pages 339-359, 2012 (PDF)
  9. "Transient temperature rises in a sandwich-structured composite induced by a dithering or rotating laser beam", IOSR Journal of Engineering (IOSRJEN), Vol.2 Issue 2, pages 234-246, 2012 (PDF)
  10. "Laser propagation in biaxial liquid crystal polymers" (with E. Choate), Fourteenth Annual Directed Energy Symposium Proceedings, pages 1381-1396, 2011
  11. "Transient temperature distributions produced in a two-layer finite structure by a dithering or rotating laser beam", Fourteenth Annual Directed Energy Symposium Proceedings, pages 1416-1431, 2011
  12. "Stability of equilibria of nematic liquid crystalline polymers" (with H. Wang), Acta Mathematica Scientia, 31B(6), 2289-2304, 2011 (PDF)
  13. "Light propagation in biaxial nematic liquid crystal polymers using finite-difference time-domain method" (with E. Choate),  2011 Directed Energy Systems Symposium Proceedings, 2011
  14. "Transient temperature distribution on a finite domain induced by a dithering or rotating laser beam" (with T. Tan),  2011 Directed Energy Systems Symposium Proceedings, pages 83-105, 2011
  15. "Temperature rise induced by a rotating or dithering laser beam", Advanced Studies in Theoretical Physics, Vol. 5 (no. 10), 443-468, 2011(PDF)
  16. "Observability of the Doi orientation tensor model",  Applied Mathematical Sciences, Vol. 5 (no. 7), 337-350, 2011 (PDF)
  17. "Phase diagram of nematic polymer monolayers with the Onsager interaction potential" (with H. Wang) , Journal of Computational and Theoretical Nanoscience, 7, 738-755, 2010 (PDF)
  18. "Mathematical studies and simulations of nematic liquid crystal polymers and nanocomposites" (with M.G. Forest and H. Wang),  Journal of Computational and Theoretical Nanoscience, 7, 645-660, 2010 (PDF)
  19. "Observability of viscoelastic fluids" (with W. Kang, A. Krener and H. Wang),  Journal of Non-Newtonian Fluid Mechanics, 165, 425-434, 2010 (PDF)
  20. "Efficiency of inhomogeneous thermoelectric generators",  Applied Mathematical Sciences, Vol. 4 (no. 11), 505-514, 2010 (PDF)
  21. "Sheared nematic liquid crystal polymer monolayers" (with H. Wang and M. G. Forest), Discrete and Continuous Dynamical Systems-Series B , 11 (2), 497-517, 2009 (PDF)
  22. " Extendability of equilibria of nematic polymers" (with H. Wang), Abstract and Applied Analysis ,Vol. 2008, Article ID 854725, 2008 (PDF)
  23. "Stokes efficiency of molecular motor-cargo systems" (with H. Wang), Abstract and Applied Analysis ,Vol. 2008, Article ID 241738, 2008 (PDF)
  24. "Controllability of non-newtonian fluids under homogeneous extensional flow" (with L. Wilson, W. Kang and H. Wang), Applied Mathematical Sciences, Vol. 2 (no. 43), 2145-2156, 2008 (PDF).
  25. "Multiple branches of ordered states of polymer ensembles with the Onsager excluded volume potential" (with H. Wang), Physics Letters A, 372, 3423-3428, 2008 (PDF)
  26. "Homogeneous flow field effect on the control of Maxwell materials" (with W. Kang, A. Krener and H. Wang), Journal of Non-Newtonian Fluid Mechanics, 150, 104-115, 2008 (PDF)
  27. "Exact solution of a constrained optimization problem in thermoelectric cooling" (with H. Wang), Applied Mathematical Sciences , 2(4), 177-186, 2008 (PDF).
  28. "Steady states and their stability of homogeneous, rigid, extended nematic polymers under imposed magnetic fields" (with G. Ji, Q. Wang, P. Zhang and H. Wang), Communications in Mathematical Sciences, 5(4), 917-950, 2007 (PDF)
  29. "Elongational perturbations on nematic liquid crystal polymers under a weak shear" (with H. Wang), Physics of Fluids, 19, 103107, 2007 (PDF).
  30. "Monotonicity of a key function arised in studies of nematic liquid crystal polymers" (with H. Wang), Abstract and Applied Analysis, Vol. 2007, Article ID 76209, 7 pages, 2007 (PDF).
  31. "Asymptotic study on the extendability of equilibria of nematic polymers" (with H. Wang), International Journal of Contemporary Mathematical Sciences, Vol. 2 (no. 21), 1009-1023, 2007 (PDF).
  32. "Anchoring-induced texture and shear banding of nematic polymers in shear cells" (with M.G. Forest and Q. Wang), Discrete and Continuous Dynamical Systems-Series B, Vol. 8 (no. 3), 707-733, 2007 (PDF).
  33. "On the equilibria of the extended nematic polymers under elongational flow" (with L. Wilson and H. Wang), Abstract and Applied Analysis, Vol. 2007, Article ID 36267, 15 pages, 2007 (PDF).
  34. "Nonparallel solutions of extended nematic polymers under an external field" (with H. Wang and Q. Wang), Discrete and Continuous Dynamical Systems-Series B, 7(4), 907-929, 2007 (PDF).
  35. "Steady states and dynamics of 2-D nematic polymers driven by an imposed weak shear" (with H. Wang), Communications in Mathematical Sciences, 5(1), 113-132, 2007 (PDF).
  36. "Characterization of stable kinetic equilibria of rigid, dipolar rod ensembles for coupled dipole-dipole and Maier-Saupe potentials" (with H. Wang, Q. Wang and M.G. Forest), Nonlinearity, 20, 277-297, 2007 (PDF).
  37. "Nematic liquids in weak capillary Poiseuille flow: structure scaling laws and effective conductivity implications" (with M.G. Forest), International Journal of Numerical Analysis and Modeling , 4, 460-477, 2007 (PDF).
  38. "Study of phase transition in homogeneous, rigid extended nematics and magnetic suspensions using an order-reduction method" (with G. Ji, Q. Wang and P. Zhang), Physics of Fluids, 18, 123103, 2006 (PDF).
  39. "On weak plane Couette and Poiseuille flows of rigid rod and platelet ensembles" (with Z. Cui, M.G. Forest and Q. Wang), SIAM J. Appl. Math. , 66 (4), 1227-1260, 2006 (PDF).
  40. "Anchoring distortions coupled with plane Couette & Poiseuille flows of nematic polymers in viscous solvents: morphology in molecular orientation, stress & flow" (with M. G. Forest), Discrete and Continuous Dynamical Systems-Series B, 6 (2), 407-425, 2006 (PDF).
  41. "Steady state solutions of the Smoluchowski equation for nematic polymers under imposed fields" (with Q. Wang and S. Sircar), Communications in Mathematical Sciences, 3 (4), 605-620, 2005 (PDF).
  42. "A new proof on axisymmetric equilibria of a three-dimensional Smoluchowski equation" (with H. Wang, M.G. Forest and Q. Wang) Nonlinearity ,18, 2815-2825, 2005 (PDF).
  43. "A numerical study of unsteady, thermal, glass fiber drawing processes" (with M. G. Forest), Communications in Mathematical Sciences, 3(1),27-45,2005 (PDF).
  44. "Extension-enhanced conductivity of liquid crystalline polymer nano-composites" (with M.G. Forest, X. Zheng, Q. Wang, and R. Lipton), Macromolecular Symposia,228, 81-89, 2005 (PDF).
  45. "Structure scaling properties of confined nematic polymers in plane Couette cells: The weak flow limit" (with M. G. Forest, Q. Wang and R. Zhou), Journal of Rheology, 48(1), 175-192, 2004 (PDF).
  46. " Slender vortex motion" (with H. Wang), Recent Res. Devel. Fluid Dynamics, 4, 159-179, 2003 (PDF).
  47. "Computational study of a weakly compressible mixing barrier in low Prandtl number, strongly stratified fluids" (with R. M. McLaughlin and M. G. Forest), Physics of Fluids, 15 (10), 2872-2885, 2003 (PDF).
  48. "Unsteady analyses of thermal glass fibre drawing processes" (with M. G. Forest), European Journal of Applied Mathematics 12, 479-496, 2001 (PDF).
  49. "Non-Newtonian viscous oscillating free surface jets, and a new strain-rate dependent viscosity form for flows experiencing low strain rates" (with S. E. Bechtel, M. G. Forest, N. T. Youssef and K. W. Koelling), Rheol. Acta 40, 373-383, 2001 (PDF).
  50. "Methods for the exact construction of mesoscale spatial structures in liquid crystal polymers" (with M. G. Forest and Q. Wang), Physica D 152-153, 288-309, 2001 (PDF).
  51. "On the flow-phase diagram for discotic liquid crystals in uniaxial extension and compression" (with M. G. Forest and Q. Wang), Liquid Crystals 28(5), 717-720, 2001 (PDF).
  52. "Exact banded patterns from a Doi-Marrucci-Greco model of nematic liquid crystal polymers"(with M.G. Forest and Q. Wang), Physical Review E 61(6), 6655-6662, 2000 (PDF).
  53. "Homogeneous biaxial patterns and director instabilities of liquid crystal polymers in axial and planar elongation" (with M.G. Forest and Q. Wang), Physics of Fluids 12(3), 490-498, 2000 (PDF).
  54. "Thermotropic liquid crystalline polymer fibers"(with M.G. Forest and Q. Wang), SIAM Journal on Applied Mathematics 60(4), 1177-1204, 2000 (PDF).
  55. "Nonhomogeneous patterns with core defects in elongational flows of liquid crystal polymers" (with M.G. Forest and Q. Wang), Journal of Rheology, 43(6), 1573-1582, 1999 (PDF).
  56. "A model study of the spinning of thermotropic liquid crystalline polymers: Fiber performance predictions and bounds on throughput" (with M.G. Forest and Q. Wang), Advances in Polymer Technology, 18(4), 314-335, 1999 (PDF).
  57. "Dynamics of free surface and pure elongational flows of liquid crystalline polymers" (with Q. Wang and M.G. Forest), in Rheology and Fluid Mechanics of Nonlinear Materials, edited by D.A. Siginer and D. DeKee, FEB-Vol 246, MD-Vol 81, ASME New York, 101-114, 1998.
  58. "Free surface viscoelastic and liquid crystalline polymer fibers and jets" (with S. E. Bechtel, M. G. Forest and Q. Wang), in Advances in the Flow and Rheology of Non-Newtonian Fluids, edited by D. A. Siginer, D. DeKee and R. P. Chabra, Elsevier, 1998 (PDF).
  59. "The effect of dynamic surface tension on the oscillation of slender elliptical Newtonian jets" (with S. E. Bechtel, M. G. Forest and N. T. Youssef), J. Appl. Mech. 65 (3), 694-704, 1998 (PDF).
  60. "On the motion of slender vortex filaments", Physics of Fluids. 9 (4), 970-981, 1997 (PDF).