| Crucial Properties of the Moment Closure Model FENE-QE [PDF]with Han Wang, Kun LiJournal of Non-Newtonian Fluid Mechanics, 150(2-3), 80-92 (2008). An Efficient Numerical Method of Landau-Brazovskii Model [PDF]with Xinwei ZhangJournal of Computational Physics, 227 (11) 5859-5870 (2008). Numerical Simulation of Phase Separation Coupled with Crystallization [PDF]with Dongzhuo Zhou, An-Chang ShiJournal of Chemical Physics, Volume: 129 Issue: 15 (2008). Continuum theory of a moving membrane [PDF]with Dan Hu and Weinan EPhysical Review E 75 (4): Art. No. 041605 Part 1 APR (2007) A kinetic-hydrodynamic simulation of microstructure of liquid crystal polymers in plane shear flow [PDF]with Haijun YuJournal of Non-Newtonian Fluid Mechanics 141(2-3): 116-127 FEB 15 (2007) Mathematical analysis of multi-scale models of complex fluids [PDF]with Tiejun LiCommunications in Mathematical Sciences 5 (1): 1-51 MAR (2007) Analysis of the heterogeneous multiscale method for parabolic homogenization problems [PDF]with Pingbing MingMathematics of Computation 76 (257): 153-177 (2007) Moving mesh methods for singular problems on a sphere using perturbed harmonic mappings [PDF]with Yana Di, Ruo Li and Tao TangSIAM Journal on Scientific Computing, 28, 1490-1508. (2006) Modified models of polymer phase separation [PDF]with Douglas Zhou and Weinan EPhysical Review E 73 (6): Art. No. 061801 Part 1 JUN (2006) A Molecular Kinetic Theory of Inhomogeneous Liquid Crystal Flow and the Small Deborah Number Li...Crucial Properties of the Moment Closure Model FENE-QE [PDF]with Han Wang, Kun LiJournal of Non-Newtonian Fluid Mechanics, 150(2-3), 80-92 (2008). An Efficient Numerical Method of Landau-Brazovskii Model [PDF]with Xinwei ZhangJournal of Computational Physics, 227 (11) 5859-5870 (2008). Numerical Simulation of Phase Separation Coupled with Crystallization [PDF]with Dongzhuo Zhou, An-Chang ShiJournal of Chemical Physics, Volume: 129 Issue: 15 (2008). Continuum theory of a moving membrane [PDF]with Dan Hu and Weinan EPhysical Review E 75 (4): Art. No. 041605 Part 1 APR (2007) A kinetic-hydrodynamic simulation of microstructure of liquid crystal polymers in plane shear flow [PDF]with Haijun YuJournal of Non-Newtonian Fluid Mechanics 141(2-3): 116-127 FEB 15 (2007) Mathematical analysis of multi-scale models of complex fluids [PDF]with Tiejun LiCommunications in Mathematical Sciences 5 (1): 1-51 MAR (2007) Analysis of the heterogeneous multiscale method for parabolic homogenization problems [PDF]with Pingbing MingMathematics of Computation 76 (257): 153-177 (2007) Moving mesh methods for singular problems on a sphere using perturbed harmonic mappings [PDF]with Yana Di, Ruo Li and Tao TangSIAM Journal on Scientific Computing, 28, 1490-1508. (2006) Modified models of polymer phase separation [PDF]with Douglas Zhou and Weinan EPhysical Review E 73 (6): Art. No. 061801 Part 1 JUN (2006) A Molecular Kinetic Theory of Inhomogeneous Liquid Crystal Flow and the Small Deborah Number Limit [PDF]with Weinan EMethods and Applications of Analysis Vol. 13, No. 2, 181-198, JUN (2006) Local existence for the FENE-dumbbell model of polymeric fluids [PDF]with Hui ZhangArchive 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 LiMultiscale Modeling & Simulation 5 (1): 205-234(2006) Discontinuous Galerkin time domain (DGTD)methods for the study of 2-D waveguide-coupled microring resonators [PDF]with Xia Ji, Tiao Lu T and Wei CaiJournal of Light-wave Technology 23 (11): 3864-3874 (2005) Axial symmetry and classification of stationary solutions of Doi-onsager equation on the sphere with Maier-Saupe potentia [PDF]with Hailiang Liu and Hui ZhangCommunications in Mathematical Sciences, 3 201-218, (2005) Discontinuous Galerkin time-domain method for GPR simulation in dispersive media [PDF]with Tiao Lu and Wei CaiIEEE Transactions on Geoscience and Remote Sensing 43 (1): 72-80, (2005) Analysis of the heterogeneous multiscale method for elliptic homogenization problems [PDF]with Weinan E and Pingbing MingJournal of the American Mathematical Society 18 (1): 121-156, (2005) The structure of equilibrium solutions of one-dimensional Doi equation [PDF]with Chong Luo and Hui ZhangNonlinearity, 18, 379-389, (2005) Discontinuous Galerkin methods for dispersive and lossy Maxwell's equations and PML boundary conditions [PDF]with Tiao Lu and Wei CaiJournal of Computational Physics 200 (2): 549-580, (2004) Local existence for the dumbbell model of polymeric fluids [PDF]with Tiejun Li and Hui ZhangCommunications in Partial Differential Equations 29 (5-6): 903-923, (2004) Well-posedness for the dumbbell model of polymeric fluids [PDF]with Weinan E and Tiejun LiCommunications in Mathematical Physics 248 (2): 409-427, (2004) An adaptive mesh redistribution method for nonlinear hamiltonian-jacobi equations in two- and three dimensions [PDF]with Huazhong Tang and Tao TangJournal of Computational Physics, Vol 188/2 543 - 572, (2003) Convergence of a boundary integral method for 3-D water waves with Thomas Y. HouDiscrete and Continuous Dynamical Systems Series B Vol. 2, Number 1, 1-34 (2002). A Moving Mesh Finite Element Algorithm for Singular Problems for Two and Three Space Dimensions [PDF]with Rou Li and Tao TangJournal Computational Physics 177,365-393 (2002). Moving Mesh Methods in Multiple Dimensions based on Harmonic Maps [PDF]with Rou Li and Tao TangJournal of Computational Physics 170, 562-588 (2001). Optimal L1 Rate of Convergence for Viscosity Method and Monotone Scheme to Piecewise Constant Solution with Shocks [PDF]with Zhenhuan TengSIAM Journal on Numerical Analysis , Vol. 34, 3, 959-978 (1997). Well-posedness for linearized motion of 3-D water waves far from equilibrium with Thomas Y. Hou and Zhenhuan TengCommunications in Partial Differential Equations, 21 (9&10), 1551-1585, (1996). Convergence of variable-elliptic-vortex method for Euler equations [PDF]with Zhenhuan Teng and Long-an YingSIAM Journal on Numerical Analysis, Vol 32 No. 3, 754-774, (1995). Fully discrete convergence estimates for vortex methods in bounded domains [PDF]with Long-an YingSIAM Journal on Numerical Analysis, Vol 31, No. 2, 344-361,(1994). |
