MathLogoSmallHong Zhou's Publications


(Listed in reverse chronological order)

  1. "Asymptotic solution of electromagnetic heating of skin tissue with lateral heat conduction" (with U. Jaime-Yepez, H. Wang and S. Foley), to be submitted
  2. "Observability and Effective Region of Partial Differential Equations with Application to Data Assimilation" (with W. Kang and L. Xu), SIAM Journal on Scientific Computing, accepted
  3. "Estimating three key parameters from measurements in experiments of heat-induced flight" (with H. Wang and S. Foley), American Journal of Biomedical Science & Research, 19(2), 146-171, 2023
  4. "Inferring internal temperature from measured surface temperatures in electromagnetic heating" (with H. Wang and W. Burgei), Journal of Directed Energy, 7(2), 209-221, Spring 2023
  5. "Extracting human reaction time from observations in the method of constant stimuli" (with H. Wang, M. Adamzadeh, W. Burgei and S. Foley), Journal of Applied Mathematics and Physics, 10, 3316-3345, 2022
  6. "Minimum energy requirement for inducing withdrawal reflex in millimeter wave exposures" (with H. Wang, W. Burgei and S. Foley), Journal of Applied Mathematics and Physics, 10, 2381-2406, 2022
  7. "The observability in unobservable systems" (with W. Kang and L. Xu), IEEE 17th International Conference on Control & Automation, 315-319, 2022 (won the Best Paper Award)
  8. "Correlation analysis on AFRL HPDL data, part 2: incorporating human reaction time " (with H. Wang, W. Burgei and S. Foley), Naval Postgraduate School Technical Report, NPS-MA-22-001R, 2022
  9. "Correlation analysis of measurable quantities in AFRL HPDL study of ADS human exposure" (with H. Wang, W. Burgei and S. Foley), Naval Postgraduate School Technical Report, NPS-MA-21-002R, 2021
  10. "Biovariability of short time temperature increase measured in AFRL HPDL study of ADS human exposure" (with H. Wang, W. Burgei and S. Foley), Naval Postgraduate School Technical Report, NPS-MA-21-001R, 2021
  11. "Inference of median subjective thresholds in psychophysical experiments" (with H. Wang, M. Adamzadeh, W. Burgei and S. Foley), Journal of Applied Mathematics and Physics, 9, 982-1002, 2021
  12. "Internal temperature of skin when surface temperature is controlled with an electromagnetic beam" (with H. Wang and W. Burgei), Journal of Applied Mathematics and Physics, 9, 427-440, 2021
  13. "Thermal effect of a revolving Gaussian beam on activating heat-sensitive nociceptors in skin" (with H. Wang and W. Burgei), Journal of Applied Mathematics and Physics, 9, 88-100, 2021
  14. "Analytical solution of one-dimensional Pennes’ bioheat equation" (with H. Wang and W. Burgei), Open Physics, 18, 1084-1092, 2020
  15. "Non-dimensional analysis of thermal effect on skin exposure to an electromagnetic beam" (with H. Wang and W. Burgei), American Journal of Operations Research, 10, 147-162, 2020
  16. "Effect of depth-dependent nociceptor density on the heat-induced withdrawal reflex" (with H. Wang and W. Burgei), Applied Mathematics, 11, 788-824, 2020
  17. "A concise model and analysis for heat-induced withdrawal reflex caused by millimeter wave radiation" (with H. Wang and W. Burgei), American Journal of Operations Research, 10, 31-81, 2020
  18. "Integrating test data and ATBM simulations into dose propagation uncertainty formulation for bone fracture risk assessment" (with H. Wang, C. Kramer, J. Swallow and W. Burgei), Health, 11, 1426-1472, 2019
  19. "A two-parameter description for the injury risk of flash bangs with uncertainty" (with H. Wang, M. Simms, G. Labaria and W. Burgei), American Journal of Operations Research, 9, 79-108, 2019
  20. "Metabolomic variation in wild and cultured cordyceps and mycelia of Isaria cicadae" (with Y. He et al.), Biomedical Chromatography, Dec 22, e4478, 2018
  21. "Dose-injury relation as a model for uncertainty propagation from input dose to target dose" (with H. Wang and W. Burgei), American Journal of Operations Research, 8, 360-385, 2018
  22. "Risk of hearing loss injury caused by multiple flash bangs on a crowd" (with H. Wang and W. Burgei), American Journal of Operations Research, 8, 239-265, 2018
  23. "Asymptotics and well-posedness of the derived distribution density in a study of biovariability" (with H. Wang and W. Burgei),  Applied Mathematics, 9, 672-690, 2018
  24. "Risk of hearing loss caused by multiple acoustic impulses in the framework of biovariability" (with H. Wang and W. Burgei), Health, 10, 604-628, 2018 (Here is a link to SIAM News Blog “How Biovariability Affects Hearing Loss”)
  25. "Interpreting dose-response relation for exposure to multiple sound impulses in the framework of immunity" (with H. Wang and W. Burgei), Health, 9, 1817-1842, 2017
  26. "Average damage caused by multiple weapons against an area target of normally distributed elements" (with H. Wang, G. Labaria and C. Moten), American Journal of Operations Research, 7, 289-306, 2017
  27. "Explicit exact solution of damage probability for multiple weapons against a unitary target" (with H. Wang, C. Moten, M. Driels and D. Grundel), American Journal of Operations Research, 6, 450-467, 2016
  28. "Absorption rate into a small sphere for a diffusing particle confined in a large sphere" (with H. Wang), Applied Mathematics, 7, 709-720, 2016
  29.  "Performance of stochastically intermittent sensors in detecting a target traveling between two areas" (with H. Wang), American Journal of Operations Research, 6, 199-212, 2016
  30.  “Non-detection probability of a diffusing target by a stationary searcher in a large region” (with H. Wang), Applied Mathematics, 7, 250-266, 2016
  31. "Optical Fredericks transition in a nematic liquid crystal layer" (with E. Choate and H. Wang), book chapter (Chapter 11, pages 265-295) in “Liquid Crystalline Polymers:Volume 2 --Processing and Applications”, edited by Thakur, Vijay Kumar and Kessler, Michael R., Springer, 2015
  32. "Searching for a target traveling between a hiding area and an operating area over multiple routes" (with H. Wang), American Journal of Operations Research, 5, 258-273, 2015
  33. "Differential metabolic responses of Beauveria bassiana cultured in pupae extracts, root exudates and its interactions with insect and plant" (with F. Luo et al.), Journal of Invertebrate Pathology, 130: 154-64, 2015
  34. "Computational studies on detecting a diffusing target in a square region by a stationary or moving searcher" (with H. Wang), American Journal of Operations Research, 5, 47-68, 2015
  35. "Optimization of electromagnetic wave propagation through a liquid crystal layer" (with E. Choate), Discrete and Continuous Dynamical Systems Series S, 8(2), 303-312, 2015
  36. "Numerical studies of flattop beam propagation in a metamaterial-driven lens", Proceedings of the 2014 Directed Energy Systems Symposium, pages 293-305, 2014
  37. "Gaussian beam propagation through a metamaterial lens", Universal Journal of Applied Mathematics, 2(4): 184-194, 2014
  38. "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
  39. "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
  40. "A numerical study on microwave coagulation therapy" (with A. Liu and W. Kang), Applied Mathematical Sciences, Vol. 7, no. 104, 5151-5164, 2013
  41. "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
  42. "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
  43. "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
  44. "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
  45. "Laser propagation in biaxial liquid crystal polymers" (with E. Choate), Fourteenth Annual Directed Energy Symposium Proceedings, pages 1381-1396, 2011
  46. "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
  47. "Stability of equilibria of nematic liquid crystalline polymers" (with H. Wang), Acta Mathematica Scientia, 31B(6), 2289-2304, 2011
  48. "Light propagation in biaxial nematic liquid crystal polymers using finite-difference time-domain method" (with E. Choate),  2011 Directed Energy Systems Symposium Proceedings, 2011
  49. "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
  50. "Temperature rise induced by a rotating or dithering laser beam", Advanced Studies in Theoretical Physics, Vol. 5 (no. 10), 443-468, 2011
  51. "Observability of the Doi orientation tensor model",  Applied Mathematical Sciences, Vol. 5 (no. 7), 337-350, 2011
  52. "Phase diagram of nematic polymer monolayers with the Onsager interaction potential" (with H. Wang) , Journal of Computational and Theoretical Nanoscience, 7, 738-755, 2010
  53. "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
  54. "Observability of viscoelastic fluids" (with W. Kang, A. Krener and H. Wang),  Journal of Non-Newtonian Fluid Mechanics, 165, 425-434, 2010
  55. "Efficiency of inhomogeneous thermoelectric generators",  Applied Mathematical Sciences, Vol. 4 (no. 11), 505-514, 2010
  56. "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
  57. " Extendability of equilibria of nematic polymers" (with H. Wang), Abstract and Applied Analysis ,Vol. 2008, Article ID 854725, 2008
  58. "Stokes efficiency of molecular motor-cargo systems" (with H. Wang), Abstract and Applied Analysis ,Vol. 2008, Article ID 241738, 2008
  59. "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
  60. "Multiple branches of ordered states of polymer ensembles with the Onsager excluded volume potential" (with H. Wang), Physics Letters A, 372, 3423-3428, 2008
  61. "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
  62. "Exact solution of a constrained optimization problem in thermoelectric cooling" (with H. Wang), Applied Mathematical Sciences , 2(4), 177-186, 2008
  63. "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
  64. "Elongational perturbations on nematic liquid crystal polymers under a weak shear" (with H. Wang), Physics of Fluids, 19, 103107, 2007
  65. "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
  66. "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
  67. "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
  68. "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
  69. "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
  70. "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
  71. "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
  72. "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
  73. "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
  74. "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
  75. "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
  76. "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
  77. "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
  78. "A numerical study of unsteady, thermal, glass fiber drawing processes" (with M. G. Forest), Communications in Mathematical Sciences, 3(1),27-45,2005
  79. "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
  80. "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
  81. "Slender vortex motion" (with H. Wang), Recent Res. Devel. Fluid Dynamics, 4, 159-179, 2003
  82. "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
  83. "Unsteady analyses of thermal glass fiber drawing processes" (with M. G. Forest), European Journal of Applied Mathematics 12, 479-496, 2001
  84. "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
  85. "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
  86. "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
  87. "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
  88. "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
  89. "Thermotropic liquid crystalline polymer fibers"(with M.G. Forest and Q. Wang), SIAM Journal on Applied Mathematics 60(4), 1177-1204, 2000
  90. "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
  91. "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
  92. "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.
  93. "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
  94. "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
  95. "On the motion of slender vortex filaments", Physics of Fluids. 9 (4), 970-981, 1997

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