1. 《非自治无穷维随机系统全局动力学性态及其算法》，国家自然科学基金（青年），主持；
2.《非自治随机分数阶发展方程的全局动力学性态及其算法》，山东省科学自然基金（培养），主持；
3.《色噪声驱动的分数阶动力系统的渐近行为及其算法研究》，山东省科学自然基金（面上），主持；
4.《分数高斯噪声激励下粘弹性非线性系统的随机响应分析》，国家自然科学基金（青年），第二位；
5.《一类非自治 Lorenz 型系统的动力学行为研究》，国家自然科学基金（青年），第二位；
6.《路余代数上的双代数结构和Artin代数的有限维数》，国家自然科学基金（青年），第二位.

24. Hong Lu, Linlin Wang and Mingji Zhang. Dynamicas of fractional stochastic Ginzburg-Landau equation driven by nonlinear noise. Mathematics, 10(23),2022. (SCI, IF:2.592,Q1)

23. Hong Lu, Linlin Wang, Lijun Zhang and Mingji Zhang. Limiting dynamics of non-autonomous stochastic Ginzburg-Landau equations on thin domains. Journal of Applied Analysis and Computaion,11(5), 2313-2333, 2021. (SCI, IF:1.429)

22. Hong Lu and Mingji Zhang. Dynamics of non-autonomous fractional Ginzburg-Landau equations driven by colored noise. Discrete and Continuous Dynamical Systems- Series B,25(9), 3553-3576, 2020. (SCI, IF:1.497)

21. Hong Lu, Ji Li and Mingji Zhang. Spectral methods for two-dimensional space and time fractional Bloch-Torrey equations. Discrete and Continuous Dynamical Systems- Series B,  25(9), 3357-3371, 2020. (SCI, IF:1.497)

20. Hong Lu, Jiangang Qi, Bixiang Wang and Mingji Zhang. Random attractors for non-autonomous fractional stochastic parabolic equations on unbounded domains. Discrete Countinuous Dynamical Systems- Series A, 39(2), 683-706,2019. (SCI, IF: 1.127)

19. Hong Lu,  P. W. Bates, W. Chen and M. Zhang.The spectral collocation method for efficiently solving PDEs with fractional Laplacian. Advances in Computational Mathematic, 44(3), 861-878, 2018.  (SCI, IF: 1.316)

18. Hong Lu,  M. Zhang: The spectral method for long-time behavior of a fractional power dissipative system. Taiwanese Journal of Mathematics, 22(2) , 453-483, 2018.  (SCI, IF: 0.749)

17. Hong Lu,  J. Li, J. Shackelford, J. Vorenberg and M. Zhang. Ion size effects on individual fluxes via Poisson-Nernst-Planck systems with Bikerman’s local hard-sphere potential: Analysis without electroneutrality boundary conditions. Discrete and Continuous Dynamical Systems- Series B,  23(4),1623-1643, 2018. (SCI, IF:0.994)

16. Hong Lu, Shujuan Lü, Mingji Zhang. Fourier spectral approximation to the dynamical behavior of 3D fractional Ginzburg-Landau equation.  Discrete and Continuous Dynamical Systems- Series A,  37(5), 2539-2564, 2017. (SCI, IF:1.127)

15. Hong Lu, Peter W. Bates, Shujuan Lü, Mingji Zhang. Dynamics of the 3-D fractional complex Ginzburg-Landau equation. Journal of Differential Equations,  259, 5276-5301, 2015.  (SCI, IF:1.821)

14. Hong Lu , Peter W. Bates, Jie Xin, Mingji Zhang.  Asymptotic behavior of stochastic fractional power dissipative equations on R^n. Nonlinear Analysis: TMA, 128, 176-198, 2015.  (SCI, IF: 1.125)

13. Hong Lu, Peter W. Bates, Shujuan Lü, Mingji Zhang. Dynamics of the 3D  fractional Ginzburg-Landau equation with multiplicative noise on an unbounded domain. Communications in Mathematical Sciences, 14(1), 273-295,  2015.  (SCI, IF: 1.425)

12. Hong Lu, Shujuan Lü, Jie Xin, Daiwen Huang.  A random attractor for the stochastic quasi-geostrophic dynamical system on unbounded domains.  Nonlinear Analysis: TMA,  90, 96-112, 2013.  (SCI, IF: 1.612)

11. Hong Lu , Jie Xin. The existence of a global attractor for the (2+1)-dimensional  long wave-short wave resonance interaction equation. Nonlinear Analysis: TMA, 73, 3767-3778, 2010.  (SCI, IF: 1.279)

10. Hong Lu , Jie Xin, Jiaqian Hu. Local existence of solutions for the Neumann problem of the nonlinear elastodynamic system outside a domain. Journal of Mathematical Analysis and Applications, 378, 463-479, 2011.  (SCI, IF: 1.001)

9. Hong Lu , Shujuan Lü. Random attractor for fractional Ginzburg-Landau equation with multiplicative noise. Taiwanese Journal of Mathematics, 18(2) , 435-450, 2014.  (SCI, IF: 0.658)

8. Hong Lu , Jie Xin. The approximate manifolds for the generalized (2+1)-dimensional long-short wave equations. Monatshefte fur Mathematik,  165, 393-411, 2012.  (SCI, IF: 0.698)

7. Hong Lu , Shujuan Lü, Zhaosheng Feng. Asymptotic dynamics of 2d fractional  complex Ginzburg-Landau equation. International Journal of Bifurcation and Chaos, 23(12) , 2013.  (SCI, IF: 1.08)

6. Peter W. Bates, Yusheng Jia, Guojian Lin, Hong Lu, Mingji Zhang, Individual flux study via steady-state Poission-Nernst-Planck systems: effects from boundary conditions. SIAM Journal on Applied Dynamical Systems, 16(1), 2017 (SCI, IF: 1.761)

5. Peter W. Bates, Weishi Liu, Hong Lu, Mingji Zhang, Ion size and valence effects on ionic flows via  Poission-Nernst-Planck models. Communications in Mathematical Sciences, 15(4), 2017 (SCI, IF: 1.44)

4. Shujuan Lü, Hong Lu, Zhaosheng Feng. Stochastic dynamics for 2D fractional Ginzburg-Landau equation with multiplicative noise. Discrete and Continuous Dynamical Systems - Series B,  21(2), 575-590, 2015 (SCI, IF: 0.77)  

3. Jie Xin, Hong Lu. Random attractors for the stochastic discrete long wave-short wave resonance equations. Journal of Applied Mathematics, 2011.  (SCI,  IF: 0.656)

2. Jiaqian Hu, Jie Xin, Hong Lu. The global solution for one class of system of fractional nonlinear Schrödinger equations with periodic boundary condition. Computers and Mathematics with Applications, 62, 1510-1521, 2011. (SCI, IF: 1.747)

1. Jie Xin, Jianqian Hu, Hong Lu. The solution of fractional nonlinear  Ginzburg-Landau equation with weak initial data. Fractional Differential Calculus, 2(2) , 157-164, 2012.

Email: ljwenling@163.com

2011.09-2015.07         北京航空航天大学数学与系统科学学院          攻读获博士学位
2013.09-2014.09         美国密歇根州立大学数学系                   国家公派(联合培养)

1.Dynamics of 3D fractional complex Ginzburg-Landau equation, AMS 2014 Spring Central Sectional Meeting, special section on Fractal Geometry and Dynamical Systems IV  Texas Tech University, Lubbock, TX, April 11-13, 2014. (Invited talk)

2.Dynamics of 3D fractional complex Ginzburg-Landau equation, Workshop on Nonlinear elliptic systems and infinite-dimensional and stochastic dynamical systems, Michigan State University, April 28, 2014. (Invited talk)

美国《数学评论(Mathematics Reviews)》评论员

2013.09-2014.09         美国密歇根州立大学数学系                 国家公派(联合培养)

2020级硕士：王琳琳（读博）
2021级硕士：戴李颖，王昕（直博）
2023级硕士：翟雨婕