李扬荣
姓名：李扬荣 籍贯：湖南郴州 民族：汉族 职称：教授 所在部门（教研室）：分析教研室 办公室（电话）：数学与统计学院810 电子邮件：liyr@swu.edu.cn
|
|
1993.09-1996.07． 南京大学数学系， 博士研究生， 导师： 王声望教授
1987.09-1990.07. 西南师范大学数学系，硕士研究生，导师：黄绍文教授
1981.09-1984.07. 湘南学院（原郴州师专）， 大学生
2007.09-2023 （至今） 西南大学数学与统计学院， 教授，博导
2005.09-2007.08 北京应用物理与计算数学研究所，博士后，合作：郭柏灵院士
1996.08-2005.08 西南师范大学数学与财经学院，副院长，副教授，教授（2001）
1990.07-1993. 08 西南师范大学数学系， 讲师。
1984.07-1987.08 湖南桂阳三中， 教师
无限维动力系统，随机动力系统，随机偏微分方程
本课课程：实变函数， 复变函数
研究生课程：随机微分方程，随机动力系统， 非自治动力系统
2018年-至今 重庆市数学学会 副理事长
2011年-2013年 中国数学会 理事
2008年-2016年 重庆市工业与应用数学学会 副理事长
2003年-2013年 重庆数学学会 秘书长
1. 国家自然科学基金面上项目，名称：非自治随机方程的随机吸引子与不变测度的鲁棒性，批准号：12271444， 经费：60.1万， 执行时间：2023.01-2026.12， 主持，在研。
2. 国家自然科学基金面上项目，名称： 非自治系统中随机吸引子的正则性、连续性及其概率性质，批准号：11571283， 经费：59.4万， 执行时间：2015.01-2019.12， 主持，结题。
3. 国家自然科学基金面上项目，名称： 随机动力系统中的吸引子与转移概率研究，批准号：11071199， 经费：26万， 执行时间：2011.01-2013.12， 主持，结题.
发表学术论文150 篇， 其中 SCI论文90篇， 高被引论文 3篇 （2023年3月）。部分代表性论文如下：
1. Yangrong Li and Shuang Yang, Hausdorff Sub-norm Spaces and Continuity of Random Attractors for Bi-stochastic g-Navier-Stokes Equations with Respect to Tempered Forces, Journal of Dynamics and Differential Equations 35 (2023) 543–574.
2. Shuang Yang and Yangrong Li, Numerical attractors and approximations for stochastic or deterministic sine-Gordon lattice equations, APPLIED MATHEMATICS AND COMPUTATION, 413 (2022) 文献号:126640.
3. Yangrong Li, Shuang Yang and Guangqing Long, Continuity of random attractors on a topological space and fractional delayed FitzHugh-Nagumo equations with WZ-noise, Discrete and Continuous Dynamical Systems - Series B, 27 (2022) 5977-6008
4. Renhai Wang, Yangrong Li and Bixiang Wang, Bi-spatial Pullback Attractors of Fractional Nonclassical Diffusion Equations on Unbounded Domains with (p, q)-Growth Nonlinearities, APPLIED MATHEMATICS AND OPTIMIZATION, 84 (2021) 425-461
5. Yangrong Li, Fengling Wang and Shuang Yang, Part-convergent cocycles and semi-convergent attractors of stochastic 2D-Ginzburg-Landau delay equations toward zero-memory, DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 26 (2021) 3643-3665.
6. Yangrong Li and Shuang Yang, Almost continuity of a pullback random attractor for the stochastic g-Navier-Stokes equation, DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS,18 (2021) 231-256.
7. Yangrong Li and Qiangheng Zhang,Backward Stability and Divided Invariance of an Attractor for the Delayed Navier-Stokes Equation, TAIWANESE JOURNAL OF MATHEMATICS,24 (2020) 575-601.
8. Yangrong Li, Shuang Yang and Qiangheng Zhang, Continuous Wong-Zakai Approximations of Random Attractors for Quasi-linear Equations with Nonlinear Noise, QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 19 (2020), 87.
9. Fuzhi Li, Yangrong Li and Renhai Wang, Limiting dynamics for stochastic reaction-diffusion equations on the Sobolev space with thin domains, COMPUTERS & MATHEMATICS WITH APPLICATIONS 79 (2) (2020) 457-475.
10. Renhai Wang, Yangrong Li and Bixiang Wang, Random dynamics of fractional nonclassical diffusions driven by colored noise, DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 39 (2019) 4091-4126. 高被引
11. Yangrong Li and Fuzhi Li, Limiting dynamics for stochastic FitzHugh-Nagumo equations on large domains, STOCHASTICS AND DYNAMICS : 19 ( 2019) 文献号: 1950037.
12.. Renhai Wang and, Yangrong Li, Regularity and backward compactness of attractors for non-autonomous lattice systems with random coefficients, APPLIED MATHEMATICS AND COMPUTATION, 354 (2019) 86-102.
13. Fuzhi Li and Yangrong Li, Asymptotic behavior of stochastic g-Navier-Stokes equations on a sequence of expanding domains, JOURNAL OF MATHEMATICAL PHYSICS 60 (2019) 文献号: 061505
14. Yangrong Li, Lianbing She and Renhai Wang, Asymptotically autonomous dynamics for parabolic equations, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 459(2) (2018) 1106-1123.
15. Yangrong Li, Lianbing She and Jinyan Yin, Equi-attraction and backward compactness of pullback attractors for point-dissipative Ginzburg-Landau equations, ACTA MATHEMATICA SCIENTIA, 38(2) (2018) 591-609.
16. Hongyong Cui, Jose A. Langa and Yangrong Li, Measurablity of Random Attractors for Quasi Strong-to-Weak Continuous Random Dynamical Systems, JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS 30 (2018) 1873-1898.
17. Shulin Wang and Yangrong Li, Longtime robustness of pullback random attractors for stochastic magneto-hydrodynamics equations, PHYSICA D-NONLINEAR PHENOMENA 382 (2018) 46-57.
18. Jinyan Yin and Yangrong Li, Two types of upper semi-continuity of bi-spatial attractors for non-autonomous stochastic p-Laplacian equations on R-n, MATHEMATICAL METHODS IN THE APPLIED SCIENCES, : 40 (13) (2017), 4863-4879.
19. Yangrong Li, Renhai Wang and Jinyan Yin, Backward compact attractors for non-autonomous Benjamin-Bona –Mahony equations on unbounded channels, DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 22(7) (2017) 2569-2586.
20. Jinyan Yin, Yangrong Li and Anhui Gu, Backwards compact attractors and periodic attractors for non-autonomous damped wave equations on an unbounded domain , COMPUTERS & MATHEMATICS WITH APPLICATIONS , 74(4) (2017) 744-758.
21. Jinyan Yin, Yangrong Li and Hongyong Cui,, Box-counting dimensions and upper semicontinuities of bi-spatial attractors for stochastic degenerate parabolic equations on an unbounded domain, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,: 450(2), (2017) 1180-1207.
22 . Anhui Gu and Yangrong Li, A Combined Criterion for Existence and Continuity of Random Attractors for Stochastic Lattice Dynamical Systems , INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS 27(2) (2017) doi: 1750019.
23. Yangrong Li and Jinyan Yin, A modifed proof of pullback attractors in a Sobolev space for stochastic FitzHugh-Nagumo equations, DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B ， 21 (2016) 1203-1223. 高被引
24. Hongyong Cui, Jose A. Langa and Yangrong Li, Regularity and structure of pullback attractors for reaction-diffusion type systems without uniqueness， NONLINEAR NALYSIS -THEORY METHODS & APPLICATIONS， 140 (2016) 208-235.
25. Yangrong Li, Anhui Gu and Jia Li, Existence and continuity of bi-spatial random attractors and application to stochastic semilinear Laplacian equations. Journal of Differential Equations, 258(2015), 504-534. 高被引
26. Hongyong Cui, Yangrong Li and Jinyan Yin, Existence and upper semicontinuity of bi-spatial pullback attractors for smoothing cocycles, Nonlinear Analysis, 128(2015)304-324.
27. Anhui Gu , Caibin Zeng and Yangrong Li, Synchronization of systems with fractional environmental noises on finite lattice, Fractional Calculus and Applied Analysis, 18 (2015), 891–910.
28. Hongyong Cui and, Yangrong Li, Existence and upper semicontinuity of random atrractors for stochastic degenerate parabolic equations with multiplicative noises, Applied Mathematics and Computation 271 (2015) 777–789.
29.Yangrong Li, Jia Li and Hongyong Cui, Upper semi-continuity and regularity of random attractors on p-times integrable spaces and applications，Nonlinear Analysis 109 (2014) 33–44.
30. Anhui Gu and Yangrong Li, Singleton sets random attractor for stochastic FitzHugh–Nagumo lattice equations driven by fractional Brownian motions，Communications in Nonlinear Science and Numerical Simulation, 19（2014） 3929-3937，
31. Jinyan Yin , Yangrong Li and Huijun Zhao, Random attractors for stochastic semi-linear degenerate parabolic equations with additive noise in L^q, Applied Mathematics and Computation 225 (2013) 526–540 .
32. Wenqiang Zhao and Yangrong Li, (L2, Lp)-random attractors for stochastic reaction–diffusion equation on unbounded domains, Nonlinear Analysis 75 (2012) 485–502.
33. Wenqiang Zhao and Yangrong Li, Asymptotic behavior of two-dimensional stochastic magneto-hydrodynamics equations with additive noise, JOURNAL OF MATHEMATICAL PHYSICS, 52, 072701 (2011)
34. Jia Li, Yangrong Li and Ben Wang, Random attractors of reaction-diffusion equations with multiplicative noise in L-p, Applied mathematics and computation, 215（2010）3399-3407.
35. Yangrong Li and Jia Li. Criteria for Feller transition functions. J.Math. Anal. Appl. 359(2009) 653-665.
36. Yangrong Li and Boling Guo, Random attractors for quasi-continuous random dynamical systems and applications to stochastic reaction-diffusion equations, Journal of Differential Equations, 245(2008),1775-1800.
1. 重庆市科学技术奖， 自然科学奖二等奖，证书号022013，颁发单位：重庆市人民政府。 获奖项目名称：泛函分析在微分方程中的应用。2002年度。
2. 重庆市教学成果奖， 二等奖，证书号：2002008（5-2），颁发单位：重庆市人民政府。 获奖项目名称：高师数学课程改革研究与实践。2001年度。
