研究领域

主要从事偏微分方程及其应用，包解适定性问题，能量分析，低正则问题及其动力学行为，孤波解理论.

论文与著作

     主持完成湖南省教育厅优秀青年项目1项、中国博士后科学特别资助项目和中国博士后科学一般资助项目各1项，湖南省教学改革项目1项，湖南省研究生科研创新项目1项、中南大学优秀博士基金1项、湖南省教育厅资助科研项目1项，作为主要成员参加国家自然科学基金项目、湖南省自然科学基金项目、湖南省教育厅重点项目、优秀青年项目多项。现主持湖南省教育厅重点项目1项，国家自然科学基金子项目1项，湖南省自然科学基金项目1项，高等学校大学数学教学研究与发展中心教改项目1项。

    已在《Journal of Dynamics & Differential Equations》《Math. Meth.Appl. Sci.》、《Journal of Mathematical Physics》、《Comput. Math. Appl.》、《Appl.Math. Comput.》、《Nonliear Anal. TMA》《Physics Lett. A》《Communications in Nonlinear Science and Numerical Simulation》等国内外知名数学期刊上发表学术论文50余篇，其中SCI/EI/收录30余篇。

1、Ming Wang，Zaiyun Zhang，Sharp global well-posedness for the fractional BBM equation，Mathematical Methods in the Applied Sciences Volume 41, Issue15 October 2018 Pages 5906-5918(SCI)

2、Zaiyun Zhang，Zhenhai Liu，Mingbao Sun，Songhua Li，Low Regularity for the Higher Order Nonlinear Dispersive Equation in Sobolev Spaces of Negative Index，Journal of Dynamics & Differential Equations，2018 (SCI)

3、Zaiyun Zhang，Zhenhai Liu，Mingbao Sun，Songhua Li，Well-posedness and unique continuation property for the solutions to the generalized Kawahara equation below the energy space，Applicable Analysis，Volume 97, 2018 - Issue 15，Pages 2655-2685(SCI)

4、Zaiyun Zhang，Zhenhai Liu，Mingbao Sun，Wellposedness and asymptotic behavior of the perturbed nonlinear Schrodinger equation with Kerr law nonlinearity and localized damping，2018（In press），Funkcialaj Ekvacioj(SCI)

5、Jianhua HUANG，Zaiyun Zhang，Yong Chen, A MODERATE DEVIATION PRINCIPLE FOR STOCHASTIC 3D LANS-α MODEL DRIVEN BY MULTIPLICATIVE LEVY NOISE,Acta Mathematica Scientia，37(2)(2018) （In press） (SCI)

6、Zaiyun Zhang，Jianguo Wu，Generalized ( G ′/G ) -expansion method and exact traveling wave solutions of the perturbed nonlinear Schrödinger’s equation with Kerr law nonlinearity in optical fiber materials，Optical & Quantum Electronics, 2017 , 49 (2) :52(SCI)

7、Zaiyun Zhang, Jianhua HUANG, Mingbao SUN,Almost conservation laws and global rough solutions of the defocusing nonlinear wave equation on R^2,Acta Mathematica Scientia，37(2)(2017) 385-394 (SCI)

8、Zaiyun Zhang, Jianhua HUANG,Well-posedness and unique continuation property for the generalized Ostrovsky equation with low regularity,Mathematical Methods in the Applied Sciences 2016 , 39 (10) :2488-2513(SCI)

9、Zaiyun Zhang , Jianhua Huang , Mingbao Sun,Well-posedness and decay property for the generalized damped Boussinesq equation with double rotational inertia,Kodai Mathematical Journal, 2016 , 39 (3) :535-5516(SCI)

10、Zaiyun Zhang , Jianhua Huang ,Zhenhai Liu，Mingbao Sun,On the unique continuation property for the modified Kawahara equation，Advance in Mathematics(China) 2016, 45 (1) :80-88、(CSCD)

11、Zaiyun Zhang, Jianhua Huan，Mingbao Sun,Blow-up phenomena for the weakly dissipative Dullin-Gottwald-Holm equation revisited，Journal of Mathematical Physics，2015 , 56 (9) :092703-1664 (SCI)

12、Zaiyun Zhang, Jacobi elliptic function expansion method for the modified Korteweg-de Vries-Zakharov -Kuznetsov and the Hirota equations,Romanian Journal of Physics, 2015 60(Nos. 9-10), 1384–1394 (2015) (SCI)

13、Zaiyun Zhang, Jianhua Huang, On solvability of the dissipative Kirchhoff equation with nonlinear boundary damping, Bulletin of the Korean Mathematical Society 51(2014)189-206 (SCI)

14、Zaiyun Zhang, Jianhua Huang , Zhenhai Liu，Boundary stabilization of a nonlinear viscoelastic equation with interior time-varying delay and nonlinear dissipative boundary feedback，Abstract and Applied Analysis，Volume 2014, Article ID 102594, 14 pages(SCI)

15、Zaiyun Zhang, Jianhua Huang, et al.,The extended (G′/G)-expansion method and travelling wave solutions for the perturbed nonlinear Schrödinge equation with Kerr law nonlinearity，Pramana, 2014 , 82 (6) :1011-1029 (SCI)

16、Zaiyun Zhang,  Zhen hai Liu, X. Y. Gan ,Global existence and general decay for a nonlinear viscoelastic equation with velocity-dependent material density, Applicable Analysis 92(2013) 2021 -2048 (SCI) (SCI)

17、Zaiyun Zhang, FL Xia，LI Xin-Ping，Bifurcation analysis and the travelling wave solutions of the Klein-Gordon-Zakharov equations，Pramana , 2013 , 80 (1) :41-59(SCI)

18、Zaiyun Zhang,Abundant exact traveling wave solutions for the Klein-Gordon-Zakharov equations via the tanh-coth expansion method and Jacobi elliptic function expansion，Romanian Journal of Physics, 2013 , 58 (7-8), 749–765(SCI)

19、Zaiyun Zhang, et al.,A new method to construct traveling wave solutions for the Klein-Gordon-Zakharov equations，Romanian Journal of Physics, 2013 , 58 (7-8), 766–777(SCI)

20、Zaiyun Zhang,First integral method and exact solutions to nonlinear partial differential equations arising in mathematical physics，Romanian Reports in Physics, 2013 , 31 (4) :159-174(SCI)

21、Zaiyun Zhang,Exact traveling wave solutions of the perturbed Klein-Gordon equation with quadratic nonlinearity in (1+1)-dimension, Part I-without local inductance and dissipation effect，Turkish Journal of Physics，2014 , 37 (2) :259-267 (EI)

22、Zaiyun Zhang, et al.,A note on exact travelling wave solutions for the Klein-Gordon-Zakharov equations，Zeitschrift Für Naturforschung A , 2014 , 67 (3-4) :167-172(SCI)

23、Zaiyun Zhang, et al., A note on exact traveling wave solutions of the perturbed nonlinear Schrodinger's equation with Kerr law nonlinearity，Communications in Theoretical Physics , 2012 , 57 (5) :764-770(SCI)

24、Zaiyun Zhang, et al., Existence and asymptotic behavior of solutions to generalized Kirchhoff equation，Nonlinear Studies, 2012 , 19 (1)57-70.

25、Zaiyun Zhang, Zhenhai Liu, Xiujin Miao ,Yuezhong Chen, Global existence and uniform stabilization of a generalized dissipative Klein-Gordon equation type with  boundary damping, Journal of Mathematical Physics 52 (2011) 023502(SCI)

26、Zaiyun Zhang,  Zhenhai Liu, Xiujin Miao ,Yuezhong Chen, Qualitative analysis and traveling wave solutions for the perturbed nonlinear Schrodinger's equation with Kerr law nonlinearity, Physics Letter A 375(2011)1275-1280 (SCI)湖南省15届自然科学论文三等奖

27、Xiujin Miao ,Zaiyun Zhang, The modified G’/G-expansion method and traveling wave solutions of nonlinear the perturbed nonlinear Schrodinger's equation with Kerr law nonlinearity, Communications in Nonlinear Science and Numerical Simulation 16(2011) 4259-4267 (SCI)

28、Zaiyun Zhang,Yunxiang Li,Zhenhai Liu,Xiujin Miao,New exact solutions to the perturbed nonlinear Schrodinger's equation with Kerr law nonlinearity via modified trigonometric function series method, Communications in Nonlinear Science and Numerical Simulation 16(2011) 3097-3106(SCI)

29、Zaiyun Zhang,Xiangyang Gan, Demin Yu, Bifurcation behavior of the traveling wave solutions of nonlinear the perturbed nonlinear Schrödinger's equation with Kerr law nonlinearity, Zeitschrift fuer Naturforschung A 66 (2011)721-727 (SCI) 

30、Zaiyun Zhang,Xiujin Miao, Demin Yu, On solvability and stabilization of a class of hyperbolic hemivariational inequalities in elasticity, Funkcialaj Ekvacioj 54(2011)297-314 (SCI)

31、Zaiyun Zhang,Zhenhai Liu,Global attractor for the generalized dissipative KDV equation with nonlinearity, IJMMS Volume2011, ArticleID 725045.

32、Zaiyun Zhang, Zhenhai Liu, Xiujin Miao ,Yuezhong Chen, Stability analysis of  heat flow with boundary time varying delay effect, Nonlinear Anal. TMA 73(2010)1878-1889(SCI)

33、Zaiyun Zhang, Xiujin Miao,Global existence and uniform decay for wave equation with dissipative term and boundary damping, Computers & Mathematics with Appications59(2010) 1003-1018(SCI)

34、Zaiyun Zhang, Zhenhai Liu, Xiujin Miao ,Yuezhong Chen, New exact solutions to the perturbed nonlinear Schrodinger's equation with Kerr law nonlinearity, Applied Mathematics and Computation 21(2010)3064-3072(SCI)

35、Zaiyun Zhang, Zhenhai Liu, Xiujin Miao,Estimate on the dimension of global attractor for nonlinear dissipative Kirchhoff equation,Acta Applicandae Mathematicae 110(2010)271-282 (SCI)

36、Zaiyun Zhang, Zhenhai Liu, Xiujin Miao ,Yuezhong Chen, A note on decay properties for the solutions of a class of partial differential equation with memory, Journal of Applied Mathematics and Computing,37(2010) 85-102 (EI)

37、Zaiyun Zhang, Central Manifold for the Elastic String with Dissipative Effect, Pacific Journal of Applied Mathematics 4(2010)329-343

38、Zaiyun Zhang, New exact traveling wave solutions for the nonlinear Klein-Gordon equation，Turkish Journal of Physics, 2008 , 32 (5) :235-240(EI)

荣誉与奖励

    主持高等学校大学数学教学研究与发展中心教学改革项目，湖南省普通高等学校教学改革研究项目1项，参与湖南省普通高等学校教学改革研究项目2项，主持校级双语精品课程《常微分方程》1项，参与省级精品课程《实变函数》1项，发表教研教改论文5篇，指导学生完成省级大学生研究与创新型实验项目1项，校级大学生研究与创新型实验项目2项，指导学生发表学术论文6篇，其中4篇SCI检索。

  获湖南理工学院教学成果二等奖1项，获湖南理工学院课堂教学优秀奖1次，湖南省数学学会2015年年会暨第27届大学生研讨会优秀教改论文一等奖1项。指导学生参加全国大学生数学建模竞赛，湖南省大学生数学竞赛、挑战杯等多项学科竞赛，获全国大学生数学建模竞赛湖南赛区二等奖、三等奖各1项。