刘伟,1982出生,江苏师范大学研究生院院长、数学与统计学院二级教授,南开大学兼职教授、博士生导师。

      20093月博士毕业于德国Bielefeld大学数学系师从Michael Röckner教授和王凤雨教授。

      主要研究兴趣为随机分析、随机偏微分方程和随机动力系统。

      Email: weiliuATjsnu.edu.cn   (AT=@)


工作经历

2009            德国Bielefeld大学IRTG国际研究项目     博士后

2009-2012   德国Bielefeld大学数学系                   Research Fellow

2013-至今   江苏师范大学数学与统计学院                特聘教授


科研项目

主持的基金项目:

1. 江苏省高校自然科学研究面上项目(项目批准号:12KJB110014),2013.01--2014.12。(已结题)

2. 江苏师范大学科研启动基金项目(项目批准号:12XLR026),2013.01--2014.12。(已结题)

3. 国家自然科学基金青年项目(项目批准号:11201234),2013.01--2015.12。(已结题)

4. 教育部留学回国人员科研启动基金项目,2014.01--2016.12。(已结题)

5. 江苏省“六大人才高峰”资助项目(项目批准号:2013-JY-011),2014.01-2016.12。(已结题)

6. 国家自然科学基金面上项目(项目批准号:11571147),2016.01--2019.12。(已结题)

7. 江苏省“青蓝工程”优秀科技创新团队项目,2016.06--2019.05。(已结题,验收“优秀”)

8. 江苏省杰出青年基金项目(项目批准号:BK20160004),2016.07--2019.06。(已结题)

9. 国家自然科学基金优秀青年基金项目(项目批准号:11822106),2019.01--2021.12。(已结题)

10. 国家自然科学基金面上项目(项目批准号:12171208),2022.01--2025.12。

参与的基金项目:

1. 德国DFG基金中德合作项目“Stochastic and Real World Models”,2010.07--2014.12。(已结题)

    项目主持人:马志明院士、Michael Röckner教授

2. 国家自然科学基金重点项目“随机偏微分方程的遍历理论与相关性质”(项目批准号:11831014),2019.01--2023.12。 

    项目主持人:王凤雨 教授

3. 国家自然科学基金重大项目“随机系统稳定性、速度估计和算法等” (项目批准号:12090011),2021.01--2026.12。

   项目主持人:陈木法 院士


获奖与荣誉

2010年   德国WLUG优秀博士论文

2010年   英国剑桥大学牛顿数学研究所Visiting Fellow

2013年   江苏省省级学会优秀青年人才

2013年   江苏省“六大人才高峰”高层次人才

2014年   江苏省青年岗位能手

2014年   江苏省数学成就奖

2014年   江苏特聘教授

2016年   教育部自然科学二等奖(第三完成人)  

2016年   江苏省“青蓝工程”优秀科技创新团队带头人

2018年   徐州市十大青年科技奖

2018年   江苏师范大学研究生教育成果奖一等奖

2018年   江苏省“333工程”(第二层次)中青年科技领军人才

2019年   江苏师范大学“立德树人优秀研究生导师团队”

2020年   江苏师范大学研究生教育成果奖一等奖

2020年   徐州市青年科技人才先锋岗

2020年   江苏省青年科技奖

2021年   江苏师范大学本科生教学成果奖特等奖

2021年   江苏省教学成果奖一等奖(第二完成人)

2022年   江苏省“十佳研究生导师团队”

2022年   淮海科学技术奖(科技英才奖)

2022年   江苏省数学杰出成就奖

2023年   徐州市青年五四奖章集体(概率统计青年团队)


学术兼职

美国《数学评论》评论员 (2009--)

中国概率统计学会理事 (2014--2022)

江苏省概率统计学会常务理事 (2017--)

《应用概率统计》杂志编委 (2019--)

《重庆理工大学学报》编委 (2020--)

徐州市工业与应用数学学会副理事长(2020--)

德国《数学文摘》评论员 (2021--)

《江苏师范大学学报(自然科学版)》副主编 (2021--)

中国概率统计学会副秘书长 (2022--)

江苏省工业与应用数学学会副理事长 (2022--)


出版专著/教材

点击查看原图

W. Liu and M. Röckner, Stochastic Partial Differential Equations: An Introduction, Universitext, Springer, 2015.


发表论文(Mathscinet链接/zbMath链接

1. W. Liu, Dimension-free Harnack inequality and applications for SPDE,  in "Workshop on Infinite Dimensional Random Dynamical Systems and Their Applications", F. Flandoli, P.E. Kloeden and A. Stuart (Editors) Oberwolfach Report  no. 50 (2008), 2852--2855.

2. W. Liu and F.-Y. Wang*, Harnack inequality and strong Feller property for stochastic fast diffusion equations, J. Math. Anal. Appl. 342 (2008), 651--662.

3. W. Liu, Harnack inequality and applications for stochastic evolution equations with monotone drifts, J. Evol. Equ. 9 (2009), 747--770.

4. W. Liu, On the stochastic p-Laplace equation, J. Math. Anal. Appl. 360 (2009), 737--751.

5. W. Liu, Large deviations for stochastic evolution equations with small multiplicative noise, Appl. Math. Optim. 61 (2010), 27--56.

6. W. Liu, Invariance of subspaces under the solution flow of SPDE, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 13 (2010), 87--98.

7. W. Liu* and M. Röckner, SPDE in Hilbert Space with Locally Monotone Coefficients, J. Funct. Anal. 259 (2010), 2902--2922.

8. W. Liu, Ergodicity of transition semigroups for stochastic fast diffusion equations, Front. Math. China 6 (2011), 449--472.

9. W. Liu* and J. M. Tölle, Existence and Uniqueness of invariant measures for stochastic evolution equations with weakly dissipative drifts, Electron. Commun. Probab. 16 (2011), 447--457.

10. W. Liu, Existence and Uniqueness of Solutions to Nonlinear Evolution Equations with Locally Monotone Operators, Nonlinear Anal. 74 (2011), 7543--7561.

11. B. Gess, W. Liu* and M. Röckner, Random attractors for a class of stochastic partial differential equations driven by general additive noise, J. Differential Equations 251 (2011), 1225--1253.

12. W. Liu, M. Röckner and X.C. Zhu*, Large deviation principles for the stochastic quasi-geostrophic equations, Stochastic Process. Appl. 123 (2013), 3299--3327.

13. W. Liu* and M. Röckner, Local and global well-posedness of SPDE with generalized coercivity conditions, J. Differential Equations 254 (2013), 725--755.

14. W. Liu, Well-posedness of stochastic partial differential equations with Lyapunov condition, J. Differential Equations 255 (2013), 572--592.

15. W. Liu and M. Stephan*, Yosida approximations for multivalued stochastic partial differential equations driven by Lévy noise on a Gelfand triple. J. Math. Anal. Appl. 410 (2014), 158--178.

16. Z. Brzezniak, W. Liu and J.H. Zhu*,  Strong solutions for SPDE with locally monotone coefficients driven by Lévy noise. Nonlinear Analysis: Real World Applications 17 (2014), 283--310.

17. W. Liu*, M. Röckner and J. L. da Silva, Quasi-Linear (Stochastic) Partial Differential Equations with Time-Fractional Derivatives, SIAM Journal on Mathematical Analysis 50 (2018), 2588-2607.

18. S. Li, W. Liu* and Y. Xie, Ergodicity of 3D Lera-α model with fractional dissipation and degenerate stochastic forcing, Infin. Dimens. Anal. Quantum Probab. Relat. Top.  22 (2019),  1950002.

19. S. Li, W. Liu* and Y. Xie, Large deviations for Stochastic 3D Leray-α Model with Fractional Dissipation, Communications on Pure and Applied Analysis 18 (2019), 2491-2510.

20. J. Zhu, Z. Brzezniak and W. Liu*, Maximal inequalities and exponential estimates for stochastic convolutions driven by Levy-type processes in Banach spaces with application to stochastic quasi-geostrophic equations, SIAM Journal on Mathematical Analysis 51 (2019), 2121-2167.

21. S. Li, W. Liu* and Y. Xie, Exponential mixing for stochastic 3D Leray-α model with degenerate multiplicative noise, Applied Mathematics Letters  95 (2019), 1-6.

22. J. Zhu, Z. Brzezniak and W. Liu*, L^p-solutions for stochastic Navier-Stokes equation with jump noise, Statistics and Probability Letters 155 (2019), 108563.

23. W. Liu*, C. Tao and J. Zhu, Large Deviation Principle for a Class of SPDE with Locally Monotone Coefficients, Science China Mathematics 63 (2020), 1181-1202.

24. W. Liu, M. Röckner, X. Sun* and Y. Xie, Averaging principle for slow-fast stochastic differential equations with time dependent locally Lipschitz coefficients, J. Differential Equations 268 (2020), 2910-2948.

25. W. Liu and R. Zhu*, Backward Stochastic Partial Differential Equations with Lyapunov Condition, Forum Math. 32 (2020), 723-738.

26. S. Li, W. Liu* and Y. Xie, Small Time Asymptotics for SPDEs with Locally Monotone Coefficients, DCDS-B 25 (2020), 4801-4822.

27. B. Gess, W. Liu* and A. Schenke, Random Attractors for Locally Monotone Stochastic Partial Differential Equations, J. Differential Equations 269 (2020), 3414-3455.

28. W. Liu, R. Song and L. Xie*,  Gradient Estimates For The Fundamental Solutions of Levy type OperatorAdvances in Nonlinear Analysis 9 (2020), 1453-1462.

29. W. Hong, S. Li and W. Liu*, Asymptotic Log-Harnack Inequality and Applications for SPDE with Degenerate Multiplicative Noise,  Statistics and Probability Letters 164 (2020), 108810.

30. Z. Brzezniak, W. Liu and J. Zhu*, The stochastic Strichartz estimates and stochastic nonlinear Schrödinger equations driven by Lévy noise, J. Funct. Anal. 281 (2021), 109021.

31. W. Hong, S. Li and W. Liu*, Asymptotic Log-Harnack Inequality and Applications for Stochastic 2D Hydrodynamical Type Systems with Degenerate NoiseJ. Evol. Equ.  21 (2021), 419-440.

32. J. Zhu and W. Liu*, Stochastic Fubini Theorem for Jump Noises in Banach Spaces, Acta Mathematica Sinica 37 (2021), 423-435.

33. W. Hong, S. Li and W. Liu*, Asymptotic Log-Harnack Inequality and Ergodicity for Stochastic 3D Leray-alpha Model with Degenerate Type Noise, Potential Analysis 55 (2021), 477-490.

34. W. Hong, S. Li and W. Liu*, Well-posedness and Exponential Mixing for Stochastic MHD Equations with Fractional Dissipations, Front. Math. China 16 (2021), 425-457.

35. 刘伟*, 黄晓敏, 李石虎, 顾莉莉, 一类随机偏微分方程的适定性和大偏差, 中国科学:数学  51 (2021),  2025-2048.

36. W. Liu*, M. Röckner and J. L. da Silva, Strong dissipativity of generalized time-fractional derivatives and quasi-linear (stochastic) partial differential equationsJ. Funct. Anal. 281 (2021), 109135.

37. W. Hong, S. Li* and W. Liu, Large Deviation Principle for Mckean-Vlasov Quasilinear Stochastic Evolution Equations, Appl. Math. Optim. 84 (2021), 1119-1147.

38. W Hong, S. Li and W. Liu*, Freidlin-Wentzell Type Large Deviation Principle for Multiscale Locally Monotone SPDEsSIAM Journal on Mathematical Analysis 53 (2021), 6517-6561.

39. W. Hong, S. Li* and W. Liu, Strong Convergence Rates in Averaging Principle for Slow-Fast McKean-Vlasov SPDEsJ. Differential Equations 316 (2022), 94-135.

40. W Hong, M. Li, S. Li* and W. Liu, Large Deviations and Averaging for Stochastic Tamed 3D Navier–Stokes Equations with Fast OscillationsAppl. Math. Optim. 86 (2022), Paper no. 15, 54 pp.

41. X. Huang, Y. Jiang and W. Liu*, Freidlin-Wentzell's Type Large Deviation Principle for Stochastic Integral Evolution Equations, Communications on Pure and Applied Analysis 21 (2022), 3089-3116.

42. J. Gao, W. Hong and W. Liu*, Distribution Dependent Stochastic Porous Media Type Equations, Stochastics and Dynamics 22 (2022), 2240026.

43. W. Liu, M. Röckner, X. Sun* and Y. Xie, Strong averaging principle for slow-fast stochastic partial differential equations with locally monotone coefficients, Appl. Math. Optim. 87 (2023), Paper no. 39, 31pp.

44. X. Huang, W. Hong and W. Liu*, Stochastic Integral Evolution Equations with Locally Monotone and Non-Lipschitz CoefficientsFront. Math. 18 (2023), 455-490.

45. J. Gao, W. Hong and W. Liu*, Small Noise Asymptotics of Multi-Scale McKean-Vlasov Stochastic Dynamical SystemsJ. Differential Equations  364 (2023), 521-575.

46. W. Hong, S. Li, W. Liu* and X. Sun, Central Limit Type Theorem and Large Deviations for Multi-Scale McKean-Vlasov SDEs, Probability Theory and Related Fields 187 (2023), 133-201.

47. S. Li, W. Liu* and Y. Xie, Stochastic 3D Leray-α Model with Fractional DissipationScience China Mathematics 66 (2023), 2589-2614.

48. X. Huang and W. Liu*, Poisson Stable Solutions for Stochastic PDEs Driven by Lévy Noise,  J. Differential Equations, 383 (2024), 270-323.

49. R. Wang, B. Guo, W. Liu* and D. Nguyen, Fractal Dimension of Random Invariant Sets and Regular Random Attractors of Stochastic Hydrodynamical EquationsMathematische Annalen, In press.

50. W. Hong, S. Hu and W. Liu*, Mckean-Vlasov SDEs and SPDEs with Locally Monotone Coefficients, Annals of Applied Probability, In press. arXiv:2205.04043

51. M. Li and W. Liu*, Large Deviation Principle for Multi-scale Stochastic Systems with Monotone Coefficients, Communications in Mathematics and Statistics, In press.

52. W. Hong, S. Li and W. Liu*, Mckean-Vlasov SPDEs: Existence, Uniqueness and Propagation of Chaos, arXiv:2306.15508



研究生

2023级  刘桓江  闫雅晴  胡闻婕  史雅芝

2022级  杨士源  吴雨翕

2021级  杨露晗  王畅萱  厉津铭  黄晓敏(博士 南开)

2020级  孙怡  高婧玥  黄雅文  范吴静(硕博 南开)

2019级  江艳培  李苗苗  蒋宇航

2018级  黄晓敏  刘天慧  严文书

2017级  董婷婷  洪伟  姜楠  徐娟

2016级  高敏  李玉  孙佳欢

2015级  顾莉莉  蒋嘉洋  孙露彬

2014级  陶春燕  陶燕  张晨

2013级  薛建龙  杨莉 


研究生获奖

江苏省优秀硕士学位论文  洪伟(2021) 李苗苗(2023)

研究生国家奖学金  黄晓敏(2020) 高婧玥(2022)

江苏省省级三好学生  高婧玥(2023)

江苏省研究生学术创新论坛一等奖  黄晓敏(2020)

江苏省研究生学术创新论坛二等奖  高婧玥(2022)

江苏省研究生学术创新论坛三等奖  李苗苗(2021)

江苏师范大学优秀硕士学位论文  顾莉莉(2018)  洪伟(2020) 黄晓敏(2022) 李苗苗 (2023)

江苏省研究生科研创新项目  陶春燕(2015)  黄晓敏(2019)  江艳培(2020)  高婧玥(2021)  杨露晗(2022) 杨士源(2023)