Mathematical issues of complex fluids
- 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).
Kinetic theory of liquid crystal polymers
- 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).
Phase separation and nucleation of polymers
- 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).
Dynamical modeling of membrane
- 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).
Molecular dynamics
- 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).
