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软物质（复杂流体）的建模与模拟

复杂流体的数学理论
  • Global Existence of Weak Solutions to the Regularized Hookean Dumbbell Model [PDF]
    with Lingyun Zhang, Hui Zhang
    Communications in Mathematical Sciences 6 (1): 85-124 (2008).
  • Crucial Properties of the Moment Closure Model FENE-QE [PDF]
    with Han Wang, Kun Li
    Journal of Non-Newtonian Fluid Mechanics, 150(2-3), 80-92 (2008).
  • Adaptive Stroud Stochastic Collocation Method for Flow in Random Porous Media via Karhunen-Loeve Expansion [PDF]
    with Yan Ding, Tiehjun Li, Dongxiao Zhang
    Communications in Computational Physics, 4(1) 102-123 (2008).
  • On the New Multiscale Rodlike Model of Polymeric Fluids [PDF]
    with Hui Zhang
    SIAM Journal on Mathematical Analysis, 40(3) 1246-1271 (2008).
  • Review on Doi-Onsager Model in Polymeric Fluids 
    with Hui Zhang 
    Recent Progress in Scientific Computing,Edited by Wenbin Liu, Michael Ng and Zhong-ci Shi, 155-167(2007)
  • Mathematical analysis of multi-scale models of complex fluids [PDF]
    with Tiejun Li 
    Communications in Mathematical Sciences 5 (1): 1-51 MAR (2007).
  • Local existence for the FENE-dumbbell model of polymeric fluids [PDF]
    with Hui Zhang
    Archive for Rational Mechanics and Analysis 181 (2): 373-400 JUL (2006). 
  • Convergence analysis of BCF method for Hookean dumbbell model with finite difference scheme [PDF]
    with Tiejun Li 
    Multiscale Modeling & Simulation 5 (1): 205-234 (2006). 
  • Axial symmetry and classification of stationary solutions of Doi-Onsager equation on the sphere with Maier-Saupe potential [PDF]
    with Hailiang Liu and Hui Zhang
    Comm. Math. Sci., 3 201-218, (2005).
  • The structure of equilibrium solutions of one-dimensional Doi equation [PDF]
    with Chong Luo and Hui Zhang
    Nonlinearity, 18, 379-389, (2005).
  • Analysis of 1+1 dimensional stochastic models of liquid crystal polymer flows [PDF]
    with Tiejun Li and Xiang Zhou
    Comm. Math. Sci. 2，295-316, (2004).
  • Stochastic models of polymeric liquids at small Deborah number [PDF]
    with Weinan E, Tiejun Li and Eric Vanden-Eijnden 
    J. Non-Newtonian Fluid Mech. 121, 117-125, (2004).
  • A theoretical and numerical study for the rod-like model of a polymeric fluid [PDF]
    with Hui Zhang
    Journal of Computational Mathematics 22 (2): 319-330 (2004).
  • Local existence for the dumbbell model of polymeric fluids [PDF]
    with Tiejun Li and Hui Zhang
    Communications in PDE, 29 (5-6): 903-923 MAY-JUN (2004).
  • 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).
  • Convergence of a stochastic method for the modeling of polymeric fluids [PDF]
    with Weinan E and Tiejun Li
    Acta Mathematicae Applicatae Sinica, English Series, Vol. 18, 529-536, (2002).
液晶的建模与数值模拟
  • A Nonhomogeneous Kinetic Model of Liquid Crystal Polymers and Its Thermodynamic Closure Approximation[PDF]
    with Haijun Yu and Guanghua Ji 
    Communications in Computational Physics, 7(2) Sp. Iss. SI 383-402 (2010).
  • A Kinetic-Hydrodynamic Simulation of Liquid Crystalline Polymers Under Plane Shear Flow: 1+2 Dimensional Case[PDF]
    with Guanghua Ji and Haijun Yu 
    Communications in Computational Physics, 4(5) 1194-1215 (2008).
  • Steady states and their stability of homogeneous, rigid, extended nematic polymers under imposed magnetic fields [PDF]
    with Guanghua Ji, Qi Wang,Hongyun Wang and Hong Zhou
    Communications in Mathematical Sciences 5 (4): 917-950 DEC (2007). 
  • Stable dynamic states at the nematic liquid crystals in weak shear flow [PDF]
    with Hui Zhang
    Physica D-Nonlinear Phenoma 232 (2): 156-165 (2007). 
  • 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 FEB 15 (2007).
  • Study of phase transition in homogeneous, rigid extended nematics and magnetic suspensions using an order-reduction method [PDF]
    with Guanghua Ji, Qi Wang and Hong Zhou 
    Physics of Fluids, 18, 123103 (2006).
  • A Molecular Kinetic Theory of Inhomogeneous Liquid Crystal Flow and the Small Deborah Number Limit [PDF]
    with Weinan E
    Methods and Applications of Analysis Vol. 13, No. 2, 181-198, JUN (2006)
  • Numerical Simulation of Doi Model of PolymericFluids 
    with Ruo Li and Chong Luo
    Advances in Scientific Computing and Applications, Edited by Yayan,Weiwei Sun and Tao Tang, 258-273 (2004).
  • A kinetic theory for flows of nonhomogeneous rodlike liquid crystalline polymers with a nonlocal intermolecular potential [PDF]
    with Qi Wang, Weinan E and Chun Liu
    Physic Review E, Vol. 65, 051504 (2002).
高聚物的建模与数值模拟
  • 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).
  • Spectral method for exploring patterns of diblock copolymers[PDF]
    with Kai Jiang, Yunqing Huang 
    Journal of Computational Physics, 229(20), 7796-7805, (2010)
  • 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).
  • A numerical method for the study of nucleation of ordered phases[PDF]
    with Ling Lin, Xiuyuan Cheng, Weinan E and An-Chang Shi 
    Journal of Computational Physics, 229(5) 1797-1809 (2010).
  • An Efficient Numerical Method of Landau-Brazovskii Model [PDF]
    with Xinwei Zhang
    Journal of Computational Physics, 227 (11) 5859-5870 (2008).
  • Numerical Simulation of Phase Separation Coupled with Crystallization [PDF]
    with Dongzhuo Zhou, An-Chang Shi
    Journal of Chemical Physics, Volume: 129 Issue: 15 (2008).
  • Modified models of polymer phase separation [PDF]
    with Douglas Zhou and Weinan E
    Physical Review E 73 (6): Art. No. 061801 Part 1 JUN (2006).
生物膜的建模与数值模拟
  • Local Existence and Uniqueness of the Dynamical Equations of an Incompressible Membrane in Two-Dimensional Space [PDF]
    Dan Hu and Peng Song
    Communications in Mathematical Sciences 8(3) Sp. Iss. SI 783-796 (2010).
  • Numerical Simulation of Fluid Membranes in Two-Dimensional Space [PDF]
    with Peng Song
    Communications in Computational Physics, 3(4) 794-821 (2008).
  • Continuum theory of a moving membrane [PDF]
    with Dan Hu and Weinan E
    Physical Review E 75 (4): Art. No. 041605 Part 1 APR (2007).
分子动力学
  • 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).
  • Non-equilibrium molecular-dynamics measurement of the Leslie coefficients of a Gay-Berne nematic liquid crystal [PDF]
    with Congmin Wu and Tiezheng Qian
    Liquid Crystals 34 (10): 1175-1184 (2007).