Publications

  1. Zhenlu Cui, Jianbing Su and Xiaoming Zeng, Effects of Anchoring Boundary Conditions on Active Nematics, Current Nanoscience, 2016.
  2. Zhenlu Cui, Jianbing Su and Xiaoming Zeng, Apparent Viscosity of Active Nematics in Poiseuille Flow, J. of Phys: Conf. Series, Vol 640, 01211  2015.
  3. Zhenlu Cui , Xiao-Ming Zeng and Jianbing Su, Steady States of Sheared Active Nematics, Advances in Applied Mathematics and Mechanics, Vol. 6, No. 1, 75-86, 2014.
  4. Jianbing Su, Zhenlu Cui  and Xiao-Ming Zeng, Active Nematics in Poiseuille Flow, Proceeding of International Conference on Frontiers of Energy, Environmental Materials and Civil Engineering, DEStech Publications, 473-479, 2013.
  5. Qing-Bo Cai, Xiao-Ming Zeng and Zhenlu Cui, Approximation Properties of the modification of Kantorovich type q-Szasz operators, Journal of Computational Analysis and Applications, Vol. 15, No. 1, 176-187, 2013.
  6. Zhenlu Cui and Xiao-Ming-Zeng, Rheology of Sheared Bacterial Suspensions,  The IMA Volume in Mathematics and Its Applications, Vol 155, 217-224, 2012.
  7. Yuhua Zhang, Chong Zhao, Zhenlu Cui and Xiao-Ming Zeng, A bound on the distance between Loop subdivision surface and its control mesh, Computer Aided Drafting, Design and Manufacturing, 1, 27-30, 2012.
  8. Li-Cai Chu, Zhenlu Cui Xiao-Ming Zeng, The Method of Curves and Surfaces Modeling Based on Beta-Binomial Distribution, Journal of Computational Information Systems 8: 1, 1-8, 2012.
  9. Zhenlu Cui, Weakly Sheared Active Suspensions: Hydrodynamics, Stability and Rheology, Physical Review E, 83, 031911, 2011. (Also selected to appear in the Virtual Journal of Biological Physics Research, April 1 2011, http://www.vjbio.org).
  10. Zhenlu Cui, Qi Wang, Permeation Flows in Cholesteric Liquid Crystal Polymers under Oscillatory Shear, DCDS-B, Vol. 15, No. 1, 45-60, 2011.
  11. Zhenlu Cui, Small amplitude oscillatory shear permeation flow of cholesteric liquid crystal polymers, Communications in Mathematical Sciences, Vol. 8, No. 4, 943-963, 2010.
  12. Zhenlu Cui, Weakly Sheared Active Liquid Crystals, electronic-Liquid Crystal Communications, 2010.
  13. Zhenlu Cui, Weakly Sheared Active Suspensions of Rigid Ellipsoids, (PDF). IMA Preprints Series, June, 2010.
  14. Zhenlu Cui, Qi Wang, Cholesteric liquid crystal polymers under oscillatory permeation shear, (PDF). electronic-Liquid Crystal Communications, 2010.
  15. Zhenlu Cui, Qi Wang and Jianbing Su, Oscillatory shear rheology of chiral liquid crystal polymers, Proc. of SPIE, Vol. 7493, 74933F1-8, 2009.
  16. Eric Choate, M. Gregory Forest, Zhelu Cui and Lili Ju , Effects of director angle conditions on the dynamic moduli of heterogeneous nematic polymers (PDF). Proceedings of the XVth International Congress on Rheology, American Institute of Physics, 481-483, 2008.
  17. Xiaofeng Yang, Zhenlu Cui, M. Gregory Forest, Qi Wang & Jie Shen,  Dimensional Robustness and Instability of Sheared, Semi-dilute, Nano-Rod Dispersions (PDF). Multiscale Modeling and Simulation, Vol. 7, No. 2, 622-654, 2008.
  18. Eric Choate, Zhenlu Cui and M. Gregory Forest , Effects of strong anchoring on the dynamics moduli of heterogeneous nematic polymers (PDF). Rheological Acta. 47, 223-236, 2008.
  19. Zhenlu Cui and Qi Wang, A continuum model for flows cholesteric liquid crystal polymers and permeation flows (PDF). J. Non-Newtonian Fluid Mech. 138, 44-61, 2006.
  20. Zhenlu Cui, M. Carme Calderer and Qi Wang, Mesoscale structure in flows of weakly sheared cholesteric liquid crystalline polymers (PDF). Discrete and Continuous Dynamical Systems-Series B, 6(2), 291-310, 2006.
  21. Zhenlu Cui,M. Gregory Forest and Qi Wang, On weak plane Couette and Poiseuille flows of rigid rod and platelet ensembles (PDF). SIAM J. Appl. Math, 66(4), 1227-1260, 2006.
  22. David Misemer, Zhenlu Cui, Hua Li, Seung Lee, Qian Wang, Fabien Youbissi, Modelling Polymer-Purification by Counter-Current Exchange, Proceedings of the sixth PIMS-IMA Graduate Industrial Math Modelling Camp, Editor: Rachel Kuske, University of British Columbia, 2003, pp,39-51 (PDF).
  23. Chris Bose, Zhenlu Cui, Xinghua Deng, Ying Han, Qingguo Li, Robert Pichi, Lalitha Venkataramanan, Qian Wang,Lin Zhou, Inversion of 2D NMR data, Proceedings of the 7th PIMS-IMA Industrial Problem Solving Workshop, Edited by C. Sean Bohun, Pennsylvania State University,2003,pp. 5-22 (PDF).
  24. Cui Zhenlu, A saturation result for Berstein Durrmeyer polynomials in weighted norm, J. Math. Res. Exposition 16, 541(1996)
  25. Cui Zhenlu, Generalized Lupas Baskakov Integral Operator(in Chinese), Journal of Northern Jiaotong Univ. 19(2), 225(1995)
  26. Chen Wenzhong, Cui Zhenlu, Asymptotic behavior of operators of probabilistic type in Lp spaces, Appl. Math. J. Chinese Univ. Ser. B 9,259(1994)
  27. Cui Zhenlu, Asymptotic Representation of Operators of Probabilitic Type in Lp(p>=1)Space(in Chinese), Journal of Northern Jiaotong Univ. 17(4), 443(1993)
  28. Chen Wenzhong, Cui Zhenlu, The Lp-saturation of mixed exponential type integral operators, J. Math. Res. Exposition 13,61(1993)
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