
个人简介:李石虎,博士,副教授,硕士生导师。博士毕业于南开大学,概率论与数理统计专业,师从谢颖超教授,主要研究方向:随机分析、随机偏微分方程。已在 Probab. Theory Related Fields、Ann. Appl. Probab.、SIAM J. Math. Anal.、Ann. Inst. Henri Poincaré Probab. Stat. 、J. Differential Equations 、Sci. China Math. 等国内外学术期刊上发表SCI论文近30篇,主持国家自然科学基金面上项目、青年基金以及江苏省自然科学基金等项目,获江苏省自然科学奖二等奖、江苏省工业与应用数学学会青年科技奖。
E-mail: shihuli@jsnu.edu.cn.
科研项目:
1. 国家自然科学基金-面上项目(12371147, 2024.01—2027.12, 主持,在研)
2. 国家自然科学基金-青年基金(12001247, 2021.01—2023.12, 主持,已结题)
3. 江苏省自然科学基金-青年基金(BK20201019, 2020.07-2023.06,主持,已结题)
4. 江苏省高校自然科学基金-面上项目(20KJB110015, 2020.07-2022.06,主持,已结题)
荣誉与获奖:
2025年 江苏省自然科学奖二等奖(第二完成人)
2025年 第八届江苏省工业与应用数学学会青年科技奖
2023年 第十一届江苏师范大学青年教师教学优胜赛二等奖
2020年 第二届江苏省高校数学微课程教学竞赛一等奖
代表性学术论文:
[24] Hong Wei, Li Shihu, Liu Wei, Mean Field Stochastic Partial Differential Equations with Nonlinear Kernels, Annals of Applied Probability, (2026), in press.
[23] Jiang Yuhang, Li Jinming, Li Shihu, McKean-Vlasov SPDEs driven by Poisson random measure: well-posedness and large deviation principle, Applied Mathematics and Optimization, (2026), in press.
[22] Hong Wei, Li Ge, Li Shihu, Multi-Scale McKean-Vlasov SDEs: Moderate Deviation Principle in Different Regimes, Ann. Inst. Henri Poincaré Probab. Stat., (2026), in press.
[21] Li Shihu, Rong Qiang, Zhao Chonghai, Averaging principle for multi-scale Stochastic Tamed 3D Navier-Stokes Equations driven by Lévy noise, Communications on Pure and Applied Analysis, 28 (2026), 1–23.
[20] Hong Wei, Li Shihu, Liu Wei, McKean-Vlasov Stochastic Partial Differential Equations: Existence, Uniqueness and Propagation of Chaos, Probability Theory and Related Fields, 193 (2025), 717–793 .
[19] Hong Wei, Li Shihu, Sun Xiaobin, Diffusion Approximation for Multi-Scale McKean-Vlasov SDEs Through Different Methods, Journal of Differential Equations, 414 (2025), 405–454
[18] Fan Wujing, Li, Shihu, Li Yu, Wang Changxuan, The exponential stability for locally monotone stochastic partial differential equations, Statistics and Probability Letters, 206 (2024), Paper No. 109975, 10 pp.
[17] Hong Wei, Li Shihu, Liu Wei, Sun Xiaobin, Central Limit Type Theorem and Large Deviation Principle for Multi-Scale McKean-Vlasov SDEs, Probability Theory and Related Fields, 187 (2023), 133-201.
[16] Li Shihu, Liu Wei, Xie Yingchao, Stochastic 3D Leray-α Model with Fractional Dissipation, Science China Mathematics, 66 (2023), 2589-2614.
[15] Hong Wei, Li Shihu, Liu Wei, Strong convergence rates in averaging principle for slow-fast McKean-Vlasov SPDEs, Journal of Differential Equations, 316 (2022), 94–135.
[14] Wei Manman, Xu Juan, Li Shihu, Asymptotic log-Harnack inequality for stochastic fractional MHD equations with degenerate noise. Communications on Pure and Applied Analysis, 21 (2022), no. 12, 4347–4361.
[13] Hong Wei, Li Miaomiao, Li Shihu, Liu Wei, Large Deviations and Averaging for Stochastic Tamed 3D Navier-Stokes Equations with Fast Oscillations, Applied Mathematics and Optimization, 86 (2022), Paper no. 15, 54 pp.
[12] Hong Wei, Li Shihu, Liu Wei, Freidlin-Wentzell type large deviation principle for multiscale locally monotone SPDEs, SIAM Journal on Mathematical Analysis, 53 (2021), no. 6, 6517–6561.
[11] Hong Wei, Li Shihu, Liu Wei, Well-posedness and exponential mixing for stochastic magneto-hydrodynamic equations with fractional dissipations. Frontiers of Mathematics in China, 16 (2021), no. 2, 425–457.
[10] Hong Wei, Li Shihu, Liu,Wei, Large deviation principle for McKean-Vlasov quasilinear stochastic evolution equations, Applied Mathematics and Optimization, 84 (2021), suppl. 1, S1119–S1147.
[9] Gao Junrong, Li Shihu, Sun Xiaobin, Xie Yingchao, Averaging principle for slow-fast stochastic 2D Navier-Stokes equation driven by Lévy noise, Mathematical Methods in the Applied Sciences, 44 (2021), no. 7, 5475–5500.
[8] Hong Wei, Li Shihu, Liu Wei, Asymptotic log-Harnack inequality and ergodicity for 3D Leray-α model with degenerate type noise, Potential Analysis, 55 (2021), no. 3, 477–490.
[7] Hong Wei, Li Shihu, Liu Wei, Asymptotic log-Harnack inequality and applications for stochastic 2D hydrodynamical-type systems with degenerate noise, Journal of Evolution Equations, 21 (2021), no. 1, 419–440.
[6] Li Shihu, Liu Wei, Xie Yingchao, Small time asymptotics for SPDEs with locally monotone coefficients, Discrete and Continuous Dynamical Systems B, 25 (2020), no. 12, 4801–4822.
[5] Hong Wei, Li Shihu, Liu Wei, Asymptotic Log-Harnack Inequality and Applications for SPDE with Degenerate Multiplicative Noise, Statistics and Probability Letters, 164 (2020), 108810.
[4] Li Shihu; Xie, Yingchao Averaging principle for stochastic 3D fractional Leray-α model with a fast oscillation, Stochastic Analysis and Applications, 38 (2020), no. 2, 248–276
[3] Li Shihu, Liu Wei, Xie Yingchao, Exponential mixing for stochastic 3D Leray-α model with degenerate multiplicative noise, Applied Mathematics Letters, 95 (2019), 1-6.
[2] Li Shihu, Liu Wei, Xie Yingchao, Large deviations for Stochastic 3D Leray-α Model with Fractional Dissipation, Communications on Pure and Applied Analysis, 18 (2019), 2491-2510.
[1] Li Shihu, Liu Wei, Xie Yingchao, Ergodicity of 3D Lera-α model with fractional dissipation and degenerate stochastic forcing, Infin. Dimens. Anal. Quantum Probab. Relat. Top., 22 (2019), 1950002.
学生培养:
硕士研究生招生专业:统计学、概率论与数理统计
每年计划招收硕士研究生2名左右,对概率论和随机分析感兴趣的同学,可以直接通过邮箱:shihuli@jsnu.edu.cn联系.