Pingwen Zhang
Research Interests
  • Modeling and Simulation of Soft Matter (Complex Fluids)
  • Applied Analysis And Numerical Analysis
  • Moving Mesh Methods and Applications
  • Selected Publication [Publications by subject] [Publications]
    Modeling and Simulation of Soft Matter (Complex Fluids)
    1. From Microscopic Theory to Macroscopic Theory: a Systematic Study on Modeling for Liquid Crystals [PDF]
      with Jiequn Han, Yi Luo, Wei Wang, and Zhifei Zhang
      Archive for Rational Mechanics and Analysis, 215 (3), 741-809, (2015).
    2. Numerical Methods for Quasicrystals [PDF]
      with Kai Jiang
      Journal of Computational Physics, 256, 428-440, (2014).
    3. A Strategy to Explore Stable and Metastable Ordered Phases of Block Copolymers [PDF]
      with Weiquan Xu, Kai Jiang and An-Chang Shi
      Journal of Physical Chemistry B, 117 (17), 5296-5405, (2013).
    4. On the existence of a third-order phase transition beyond the Andrews critical point: A molecular dynamics study [PDF]
      with Han Wang, Site Luigi Delle
      Journal of Chemical Physics, 135, 224506, (2011).
    5. Origin of epitaxies between ordered phases of block copolymers [PDF]
      with Chu Wang, Kai Jiang, and An-Chang Shi
      Soft Matter, 7, 10552-10555, (2011).
    6. Spectral method for exploring patterns of diblock copolymers[PDF]
      with Kai Jiang, Yunqing Huang
      Journal of Computational Physics, 229(20), 7796-7805, (2010)
    7. Nucleation of Ordered Phases in Block Copolymers [PDF]
      with Xiuyuan Cheng, Ling Lin, Weinan E and An-Chang Shi
      Physical Review Letters, 104(14), 148301, (2010).
    8. A numerical method for the study of nucleation of ordered phases [PDF]
      with Ling Lin, Xiuyuan Cheng, Weinan E, An-Chang Shi
      Journal of Computational Physics, 229(5), 1797-1809, (2010).
    9. An efficient numerical method of Landau-Brazovskii model[PDF]
      with Xinwei Zhang
      Journal of Computational Physics, 227 (11), 5859-5870, (2008).
    10. Numerical simulation of phase separation coupled with crystallization[PDF]
      with Dongzhuo Zhou, An-Chang Shi
      Journal of Chemical Physics, 129, 154901, (2008)
    11. A kinetic-hydrodynamic simulation of microstructure of liquid crystal polymers in plane shear flow[PDF]
      with Haijun Yu
      Journal of Non-Newtonian Fluid Mechanics 141 (2-3): 116-127, (2007)
    12. Modified models of polymer phase separation[PDF]
      with Dongzhuo Zhou and Weinan E
      Physical Review E 73 (6): 061801, Jun. (2006)
    Applied Analysis and Numerical Analysis
    1. The Small Deborah Number Limit of the Doi-Onsager Equation to the Ericksen-Leslie Equation [PDF]
      with Wei Wang and Zhifei Zhang
      Communications on Pure and Applied Mathematics, 68 (8), 1326-1398, (2015).
    2. Well-Posedness of the Ericksen-Leslie System [PDF]
      with Wei Wang and Zhifei Zhang,
      Archive for Rational Mechanics and Analysis, 210 (3), 837-855, (2013).
    3. Mathematical analysis of multi-scale models of complex fluids [PDF]
      with Tiejun Li
      Communications in Mathematical Sciences 5 (1): 1-51, (2007).
    4. Local existence for the FENE-dumbbell model of polymeric fluids [PDF]
      with Hui Zhang
      Archive for Rational Mechanics and Analysis, 181 (2): 373-400, (2006).
    5. Axial symmetry and classification of stationary solutions of Doi-Onsager equation on the sphere with Maier-Saupe potential [PDF]
      with Hailiang Liu, Hui Zhang
      Communications in Mathematical Sciences, 3:201-218, (2005).
    6. The structure of equilibrium solutions of one-dimensional Doi equation[PDF]
      with Chong Luo, Hui Zhang
      Nonlinearity, 18, 379-389, (2005).
    7. Analysis of the heterogeneous multiscale method for elliptic homogenization problems[PDF]
      with Weinan E and Pingbing Ming
      Journal of the American Mathematical Society 18 (1): 121-156, (2005).
    8. Well-posedness for the dumbbell model of polymeric fluids [PDF]
      with Weinan E and Tiejun Li
      Communications in Mathematical Physics, 248 (2): 409-427, (2004)
    Moving Mesh Methods and Applications
    1. Moving mesh finite element methods for the incompressible Navier-Stokes equations [PDF]
      with Yana Di, Ruo Li and Tao Tang
      SIAM Journal on Scientific Computing, 26 (3): 1036-1056, (2005).
    2. A moving mesh finite element algorithm for singular problems for two and three space dimensions[PDF]
      with Ruo Li and Tao Tang
      Journal Computational Physics, 177, 365-393, (2002).
    3. Moving mesh methods in multiple dimensions based on harmonic maps [PDF]
      with Ruo Li and Tao Tang
      Journal of Computational Physics, 170, 562-588, (2001).
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