Modeling and Simulation of Soft Matter (Complex Fluids)
- 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).
- 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, 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, 129, 154901, (2008)
- 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)
- 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
- Mathematical analysis of multi-scale models of complex fluids[PDF]
with Tiejun Li
Communications in Mathematical Sciences 5 (1): 1-51, (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, (2006).
- 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).
- The structure of equilibrium solutions of one-dimensional Doi equation[PDF]
with Chong Luo, Hui Zhang
Nonlinearity, 18, 379-389, (2005).
- 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).
- 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
- 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).
- 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).
- 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).
