Publications

2009

26. Hui Zhang, Long-time asymptotic behaviour of a multiscale rodlike model of polymeric fluids.

25. Liyun Zhao, Haiyang Huang, Hui Zhang,Strong Solutions to a Phase Field Model for Complex Fluids.

24. Hui Zhang, Qichuan Bai, Numerical investigation of tumbling phenomena based on a macroscopic model for hydrodynamic nematic liquid crystals, Communication in Computational Physics, to appear.

23. Gerald Warnecke, Hui Zhang, Steady states of the 1D DOi-Onsager model in the strong shear flow.

2008


22. Hui Zhang, Pingwen Zhang, On the new multiscale rodlike model of polymeric fluids, SIAM J. Math. Anal., 40(2008), 1246-1271.[pdf]

21. Lingyun Zhang, Hui Zhang, Pingwen Zhang, Global existence of weak solutions to the regularized Hookean dumbbell model, Commun. Math. Sci., 6(2008) 85-124.[pdf]

2007

20. Hui Zhang, Pingwen Zhang, Stable Dynamic States at the Nematic Liquid Crystals in Weak Shear Flow, Physica D, 232(2007), 156-165.[pdf]

19. Hui Zhang, Pingwen Zhang, Review on Doi-Onsager model in polymeric fluids, Recent progress in scientific computing, editors: Wenbin Liu, Michael Ng and Zhong-Ci Shi, 2007, 155-167.[pdf]

18. Ping Lin, Chun Liu, Hui Zhang, An energy law preserving C^0 finite element scheme for simulating the kinematic effects in liquid crystal dynamics, J. Comp. Phys., 227£¨2007£©1411-1427.[pdf]

2006

17. Hui Zhang, Pingwen Zhang, Local existence for the FENE-Dumbbell model of polymeric fluids, Arch. Rat. Mech. Anal. 181(2006), 373-400.[pdf]

2005

16. Hailaing Liu, Hui Zhang, Pingwen Zhang, Axial symmetry and classification of stationary solutions of Doi-Onsager equation on the sphere with Maier-Saupe potential, Comm. Math. Sci., 3(2005),201-218.[pdf]

15. Chong Luo, Hui Zhang, Pingwen Zhang, The structure of equilibrium solutions of the one dimensional Doi equation, Nonlinearity, 18 (2005),379-389.[pdf]

2004

14. Tiejun Li, Hui Zhang, Pingwen Zhang, Local Existence for the Dumbbell
Model of Polymeric Fluids, Comm. Part. Diff. Eqns. 29 (2004), 903-923.[pdf]

13£®Hui Zhang and Pingwen Zhang, A Theoretical and Numerical Study for the Rod-like Model of a Polymeric Fluid, J. Comp. Math. 22(2004), 319-330.[pdf]

12. Hui Zhang and Yongchuan Zhao, Convergence rates to traveling waves for a relaxation model with large initial disturbance, Acta Math. Phys. 24 B(2), (2004) 213-227.

11£®Hui Zhang and Xiaohong Wang, Large-time Behaviour of Smooth Solutions to a non-uniformly Parabolic Equation, J. Comp. and Appl.Math. 47, (2004), 353-363.
[pdf]

2003

10. Jinghua Wang, Hui Zhang, Existence and Decay Rates of Solutions to the
Generalized Burgers Equation, J. Math. Anal. Appl., 284(2003), 213-235.
[pdf]

2002

9 . Zongming Guo and Hui Zhang, Large Positive Solutions of Elliptic Equations with Critical and Supercritical Growth, J. Math. Anal. Appl., 270, (2002), 107-128.[pdf]

8£® Jinghua Wang and Hui Zhang, Existence and Decay Rates of Smooth Solutions for a non-uniformly Parabolic Equation, Proc. Roy. Soc. Edinburgh., 132A, (2002),1477-1491.

7£® Zhang Hui, Existence of weak solutions for a degenerate generalized Burgers equation with large initial data, Acta Math. Phys. 22B, (2002), 241-248.

2001

6 . Hui Zhang, Global existence and asymptotic behavior of the solution of a generalized Burger's equation with viscosity, J. Comp. and Appl.Math., 41 £¨2001£©£¬589-596 .

5. Zongming Guo and Hui Zhang , On the global struture of the set of positive solutions for some quasilinear elliptic boundary value problems, Nonl. Anal. of AMT, 46£¨2001£©£¬1021-1037.
[pdf]

2000

4 . Jinghua Wang and Hui Zhang, A new viscous regularization of the Riemann problem for Burgers' equation, J. Partial Diff. Eqns, 13, 2000, 253-263.

3. Zhang Hui, Multiplicity of positive radial solutions for some quasilinear elliptic equations in annular domains, Acta Anal. Func. Appl., Vol. 2, No. 1, 2000, 26-33.

2£®Zhang Hui and Guo Zongming, Multiple solutions for a class of quasilinear Ordinary differential equations,Acta Anal. Func. Appl., Vol. 2, No. 3, 2000, 228-246.

1999

1. Zhang Hui and Guo Zongming, Existence of positive radial solutions for some quasilinear elliptic equations in annular domains, Appl. Math. J. chinese university, Vol. 14B (1999), 313-320.

 

 

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