基本信息
(Basic Information)
姓名 (Name): 李莉 (Li Li)
专业 (Major): 基础数学 (Pure Math)
职称 (Position): 教授 (Professor)
Email: [email protected]
招生信息
(Admission Information)
偏微分方程属于基础数学中有很强应用背景的理论研究方向. 希望招收:
1. 对偏微分方程、流体力学、动理学等领域感兴趣, 具有较强数学分析能力的博士及硕士研究生.
2. 暂无读博打算, 具有较高编程能力的硕士研究生.
研究方向
(Research Interests)
偏微分方程, 流体力学, 动理学方程
（PDE, Hydrodynamic equations, Kinetic Equations）
教育背景
(Education)
• 2000/09-2004/07, 西安交通大学, 数学与应用数学, 本科
• 2004/09-2009/07, 中国科学技术大学, 基础数学, 博士
• 2005/09-2009/07, 香港城市大学, 数学, 博士（联合培养）
工作经历
(Employment)
• 2009/08-2020/06, 哈尔滨工业大学
• 2020/07至今, 宁波大学
访学经历
(Visiting Experiences)
• 2012/09-2015/05, Rutgers University, 美国, 访问学者&博士后
• 2016/01-2016/02, 香港中文大学, 访问学者
• 2016/09-2016/11, Rutgers University, 美国, 访问学者
• 2017/09-2017/11, 香港中文大学, 访问学者
• 2019/10-2019/12, Rutgers University, 美国, 访问学者
• 2024/01-2024/02, 香港理工大学, 访问学者
• 2024/11-2025/01, 香港理工大学, 访问学者
科研项目及奖励
(Funding and Awards)
• 2024/01-2026/12, 浙江省自然科学基金杰出青年科学基金(LR24A010001), 主持;
• 2023/01-2026/12, NSFC, 面上项目(12271276), 主持;
• 2022-2026, 甬江引才工程, 青年创新人才项目;
• 2019/01-2022/12, NFSC, 面上项目 (11871177), 主持;
• 2018/01-2021/12, NSFC, 面上项目, 参与;
• 2014/01-2017/12, NSFC, 面上项目, 参与;
• 2011/01-2013/12, NSFC, 青年项目(11001066), 主持;
• 2009, 中科院院长奖学金;
• 2008, 香港“求是”科学基金会研究生奖.
期刊论文
(Selected Publications)
• Li Li, YanYan Li, Xukai Yan*, Removable singularity of (-1)-homogeneous solutions of stationary Navier-Stokes equations. Accepted by Transactions of the American Mathematical Society. (2025)
• Yi Wang, Li Li*, Zaihong Jiang, Existence of solutions to Dirichlet boundary value problems of the stationary relativistic Boltzmann equation. Nonlinearity. 38 (2025) 055020.
• Jiawei Cai, Li Li*, Honglin Zhang, Asymptotic behavior of the two-species Vlasov-Poisson-Boltzmann system. Journal of Mathematical Physics. 66 (2025), 041514.
• Qibo Ma, Li Li*, The well-posedness of three-dimensional Navier-Stokes and Magnetohydrodynamic equations with partial fractional diffusion. Discrete and Continuous Dynamical Systems, Series B. 30 (2025), no. 9, 3148-3179.
• Honglin Zhang, Li Li*, Qingning Zhang, Logarithmically improved regularity criteria for the 3D magnetohydrodynamic equations. Mathematical Methods in the Applied Sciences. 47 (2024), 14417-14430.
• Qingning Zhang, Li Li*, Zaihong Jiang, Qing Lu, Some properties for the fifth-order Camassa-Holm type equation. Mathematical Methods in the Applied Sciences. 47 (2024), 5266-5285.
• Yu Dong, Yaofang Huang, Li Li*, Qing Lu, The regularity criteria of weak solutions to 3D axisymmetric incompressible Boussinesq equations. Acta Mathematica Scientia. 43B (2023), no. 6, 2387-4397.
• Jiang Zaihong, Li Li*, Wenbo Lu, Existence of axisymmetric and homogeneous solutions of Navier-Stokes equations in cone regions. Discrete and Continuous Dynamical Systems, Series S. 14 (2021), no. 12, 4231-4258.
• Li Li, YanYan Li, Xukai Yan*, Homogeneous solutions of stationary Navier-Stokes equations with isolated singularities on the unit sphere. III. Two singularities. Discrete and Continuous Dynamical Systems, Series A. 39 (2019), no. 12, 7163-7211.
• Li Li, YanYan Li, Xukai Yan*, Vanishing viscosity limit for homogeneous axisymmetric no-swirl solutions of stationary Navier-Stokes equations. Journal of Functional Analysis, 277 (2019), no. 10, 3599-3652.
• Li Li, Zaihong Jiang*, Xinliang Cai, Solutions for stationary Navier-Stokes equations with non-homogeneous boundary conditions in symmetric domains of R^n. Journal of Mathematical Analysis and Applications, 469 (2019), no. 1, 1-15.
• Li Li, YanYan Li*, Xukai Yan, Homogeneous solutions of stationary Navier-Stokes equations with isolated singularities on the unit sphere. I. One singularity. Archive for Rational Mechanics and Analysis, 227 (2018), no. 3, 1091-1163.
• Li Li, YanYan Li, Xukai Yan*, Homogeneous solutions of stationary Navier-Stokes equations with isolated singularities on the unit sphere. II. Classification of axisymmetric no-swirl solutions. J. Differential Equations, 264 (2018), no. 10, 6082-6108.
• Zaihong Jiang, Jinbo Geng, Li Li, Ning Zhong*, Asymptotic stability of a fluid-particles interaction model with external forces. Journal of Mathematical Physics, 59 (2018), no.1, 011511.
• Zaihong Jiang, Li Li*, Ning Zhong, The Cauchy problem of a fluid-particle interaction model with external forces. Mathematical Methods in the Applied Sciences, 41 (2018), no. 1, 212-233.
• Aung Zaw Myint, Li Li*, Mingxin Wang, Qualitative analysis of a Belousov-Zhabotinskii reaction model. Acta Mathematica Sinica, English Series, 34 (2018), no. 6, 975-991.
• Shuilin Jin, Li Xu, Qinghua Jiang*, Li Li*, Conditions equivalent to C* independence, Studia Mathematica, 211 (2012), no.3, 191-197.
• Li Li*, Yingtian Chen, Sen Hu, Derivative form of off-axis aberration correction surface and its application in solar energy concentration, Communications in Theoretical Physics, 51 (2009), no.2, 315-320.
• Chern Sing Lim*, Li Li, Flux distribution of solar furnace using non-imaging focusing heliostat, Solar Energy, 83 (2009), 1200-1210.
• Li Li*, Chern Sing Lim, Tracking Speed analysis for heliostat using spinning-elevation tracking mode, J. Solar Energy Engineering, 131(2009), 034501.
• Li Li*, On the trend to equilibrium for the Valsov-Poisson-Boltzmann equations, J. Differential Equations, 244 (2008), no. 6, 1467-1501.
学术活动（含会议报告及Seminar报告）：
Selected activities (as speaker)
• Dec 20-22, 2024, Sun Yat-Sen University, Guangzhou.
• Dec 16-20, 2024, The 14th AIMS Conference on Dynamical Systems, Differential Equations and Applications, NYU Abu Dhabi and AIMS, Abu Dhabi.
• Feb 16, 2024, IMS PDE seminar, Chinese University of Hong Kong, Hong Kong.
• Nov 24-26, 2023, The MSU-BIT Workshop on Analysis and Computation, Shenzhen MSU-BIT University, Shenzhen.
• Nov 3-5, 2023, Guangxi Normal University, Guilin.
• Feb 18-21, 2023, Mini-symposia speaker, CMS annual meeting, Wuhan University of Technology, Wuhan.
• Nov 26, 2022, Seminar talk, Xiamen University of Technology, Xiamen(Online).
• Jun 24, 2022, International Workshop on Nonlinear Partial Differential Equations and Geometric Analysis, Shaanxi Normal University, Xian(Online).
• Nov 19, 2021, Seminar talk, Nanjing University, Nanjing(Online).
• Nov 17, 2021, Seminar talk, Beijing Information Science & Technology University, Beijing(Online).
• Sep 4, 2021, Seminar talk, Northwest University, Xian(Online).
• Jul 14, 2021, Seminar talk, Wuhan University, Wuhan(Online).
• Jun 22, 2021, International workshop on recent advances in nonlinear PDEs, Nanjing University of Aeronautics and Astronautics, Nanjing.
• Apr 16, 2021, Seminar talk, Wuhan University, Wuhan(Online).
• Nov 19, 2020, Mini-workshop, Soochow University, Suzhou(Online).
• Nov 8, 2020, Seminar talk, Zhejiang Normal University, Jinhua.
• Oct 30-Nov 1, 2020, Workshop on nonlinear PDEs and geometrical analysis, Ningbo University, Ningbo.
• Dec 27, 2019, seminar talk, Harbin Normal University, Harbin.
• Sept 16, 2019, Seminar talk, Zhejiang Normal University, Jinhua.
• Jul 4-6, 2019, International Workshop on the Mathematical Theory of Fluid Dynamics, Beijing Normal University, Beijing.
• Apr 19-21, 2019, The 6th PDE Forum for Young Scholars, Shanghai Jiao Tong University, Shanghai.
• Mar 21, 2019, seminar talk, Wuhan Institute of Physics and Mathematics, CAS, Wuhan.
• Mar 10-14, 2019, Workshop on Partial Differential Equations, Invited speaker, Sun Yat-Sen University, Zhuhai.
• Jun 21-24, 2018, Workshop on Partial Differential Equations, Invited speaker, Sun Yat-Sen University, Zhuhai.
• Nov 8, 2017, IMS PDE seminar, Chinese University of Hong Kong, Hong Kong.
• Nov 4, 2017, seminar talk, Sun Yat-Sen University, Zhuhai.
• Jun 28-Jul 7, 2017, The 6th BNU-PDE workshop and minicourses. Beijing Normal University, Beijing.
• Jun 3-5, 2017, International Workshop on Nonlinear Analysis and Reaction-Diffusion Equations, Jiangsu University, Zhenjiang.
• Nov 14-24, 2016, Series talks on "Homogeneous solutions of stationary Navier-Stokes equations with isolated singularities on the unit sphere", Beijing Normal University, Beijing.
• Jan 19, 2016, IMS PDE seminar, Chinese University of Hong Kong, Hong Kong.
• Aug 17-19, 2015, Series talks on "A mini-course on Navier-Stokes equations": Exposition on the existence of solutions of the non-homogeneous steady Navier-Stokes equation, Beijing Normal University, Beijing.
• May 8-15, 2014, Kinetics, nonstandard Diffusions and Stochastics, The University of Texas, Austin.
Selected activities (as participant)
• Sep 1-3, 2022, World Artificial Intelligence Conference, Shanghai.
• Jul 22-25, 2022, The 20th Summer School on Nonlinear PDEs, Sichuan University, Chengdu.
• Oct 15-18, 2021, Nonlinear partial differential equations in fluid mechanics Research progress in related fields, Zhejiang Normal University, Jinhua.
• May 30-31, 2021, The 12th S.-T. Yau College Student Mathematics Contest Award Ceremony, Tsinghua University, Beijing.
• Dec 26-29, 2020, International Congress of Chinese Mathematicians(ICCM2022), University of Science and Technology of China, Hefei.
• Dec 18-20, 2020, Academic Seminar and Doctoral Student Forum on Partial Differential Equations in the Yangtze River Delta, University of Science and Technology of China, Hefei.
• Nov 20-22, 2020, Modeling, Theory and Calculation of Partial Differential Equations, Xiamen University & Tianyuan Mathematical Center in Southeast China, Xiamen.
• Jun 15-17, 2019, International Workshop on Nonlinear Analysis and Reaction-Diffusion Equations, Harbin Normal University, Harbin.
• May 2-6, 2019, Workshop on geometrical analysis and nonlinear PDEs, Harbin Institute of Technology, Harbin.
• Nov 18-23, 2018, International Conference on Partial Differential Equations Theories, Numerics and Applications, Center for Applied Mathematics and Interdisciplinary Studies (CAMIS), South China Normal University, Guangzhou, China.
• Nov 16-18, 2018, Workshop on nonlinear partial differential equations of fluid mechanics and its applications, Huaqiao University, Quanzhou, China.
• Mar 21-12, 2018, Workshop on some aspects of incompressible Navier-Stokes equations, Beijing Normal University, Beijing, China.
• Oct 9-Oct 10, 2015, The Workshop on Partial Differential Equations and Applications, Jinan University, Guangzhou, China.
• July 28-Aug 1, 2014, "A mini-course on Navier-Stokes equations" during BNU-PDE Workshop in 2014, Beijing Normal University, Beijing, China.
• May 13-22, 2013, Mini-courses and Conference on Nonlinear Elliptic Equations, Rutgers and Courant Institute, NJ, USA.
