基本信息English Homepage
教育经历
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）


基本信息
李莉，女，汉族，哈尔滨工业大学副教授，硕士生导师。主持国家自然科学基金项目2项（面上项目1项、青年项目1项），中国博士后科学基金，黑龙江省博士后基金。参与国家自然科学基金面上项目2项。获中科院院长奖学金，香港“求是”研究生奖学金。


工作经历
2009/08至今，哈尔滨工业大学

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


研究领域
偏微分方程，流体力学

论文期刊
Li Li, YanYan Li, Xukai Yan, Homogeneous solutions of stationary Navier-Stokes equations with isolated singularities on the unit sphere. III. Two singularities. arXiv:1901.08218.
Li Li, YanYan Li, Xukai Yan, Vanishing viscosity limit for homogeneous axisymmetric no-swirl solutions of stationary Navier-Stokes equations. arXiv:1811.01089.
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(1)(2019), 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(3)(2018), 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(10)(2018), 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), 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(1)(2018), 212-233.

Aung Zaw Myint, Li Li*, Mingxin Wang, Qualitative analysis of a Belousov-Zhabotinskii reaction model. Acta Mathematica Sinica, English Series, 34(6)(2018), 975-991.
Shuilin Jin, Li Xu, Qinghua Jiang*, Li Li*, Conditions equivalent to C* independence, Studia Mathematica, 211(2012), 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(2)(2009), 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(6)(2008), 1467-1501.


讲授课程
本科生课：工科数学分析（微积分I, II），微分方程（英文授课）

研究生课：数值分析基础

科研项目&奖励
2019/01-2022/12, 国家自然科学基金面上项目，主持;

2018/01-2021/12, 国家自然科学基金面上项目，参与;

2014/01-2017/12, 国家自然科学基金面上项目，参与;

2011/01-2013/12, 国家自然科学基金青年基金，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

招生信息
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。希望招收对偏微分方程、流体力学等领域有兴趣的研究生。

Research Interest
The main interest is on Partial differential equations and Fluid mechanics. Part of my work is on optics and solar energy.

Education
2005.09-2009.07, Ph.D. City University of Hong Kong, (Joint Ph.D. programm)

2004.09-2009.07, Ph.D. University of Science and Technology of China

2000.09-2004.07, Bachelor, Xi'an Jiaotong University


Employment and Research experience
2009.08 - now, Harbin Institute of Technology

2012.09 - 2015.05, Rutgers University, visiting scholar

2016.01 - 2016.02, Chinese University of Hong Kong, visiting scholar
2016.09 - 2016.11, Rutgers University, visiting scholar & post-doc researcher

2017.09 - 2017.11, Chinese University of Hong Kong, visiting scholar

Publications
Li Li, YanYan Li, Xukai Yan, Homogeneous solutions of stationary Navier-Stokes equations with isolated singularities on the unit sphere. III. Two singularities. arXiv:1901.08218.
Li Li, YanYan Li, Xukai Yan, Vanishing viscosity limit for homogeneous axisymmetric no-swirl solutions of stationary Navier-Stokes equations. arXiv:1811.01089.

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(1)(2019), 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(3)(2018), 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(10)(2018), 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), 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(1)(2018), 212-233.

Aung Zaw Myint, Li Li*, Mingxin Wang, Qualitative analysis of a Belousov-Zhabotinskii reaction model. Acta Mathematica Sinica, English Series, 34(6)(2018), 975-991.

Shuilin Jin, Li Xu, Qinghua Jiang*, Li Li*, Conditions equivalent to C* independence, Studia Mathematica, 211(2012), 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(2)(2009), 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(6)(2008), 1467-1501.


Teaching
Undergraduate Courses: Mathematical Analysis for engineering students (Calculus I, II), Differential Equations

Graduate Courses: Fundamental Numerical Analysis

Recent Research Activities
Selected activities (attending as invited speaker)April 19-21, 2019, Shanghai JiaoTong University, The 6th PDE Forum for Young Scholars, Shanghai.
Mar 21, 2019, Wuhan Institute of Physics and Mathematics, CAS, Wuhan.

Mar 10-14, 2019, Sun Yat-Sen University, Workshop on Partial Differential Equations, Invited speaker, Zhuhai.

Jun 21-24, 2018, Sun Yat-Sen University, Workshop on Partial Differential Equations, Invited speaker, Zhuhai.
Nov 8, 2017, Chinese University of Hong Kong, IMS PDE seminar, "Homogeneous solutions of the stationary Navier-Stokes equations with singular rays and vanishing viscosity limit".

Nov 4, 2017, Academic report, "Homogeneous solutions of the stationary Navier-Stokes equations with singular rays and vanishing viscosity limit", Sun Yat-Sen University, Zhuhai.

June 28-July 7, 2017, Beijing Normal University, the 6th BNU-PDE workshop and minicourses. Invited speaker, Homogeneous solutions of stationary Navier-Stokes equations with isolated singularities.
Jun 3-5, 2017, JiangSu University, International Workshop on Nonlinear Analysis and Reaction-Diffusion Equations, Invited speaker, Homogeneous solutions of stationary Navier-Stokes equations with a singular ray.

Nov 14-24, 2016, Beijing Normal University, Series report on "Homogeneous solutions of stationary Navier-Stokes equations with isolated singularities on the unit sphere".

Jan 19, 2016, Chinese University of Hong Kong, IMS PDE seminar, "Homogeneous solutions of stationary Navier-Stokes equations with singular rays".

Aug 17-19, 2015, Beijing Normal University, Invited speaker of "A mini-course on Navier-Stokes equations", Exposition on the existence of solutions of the non-homogeneous steady
Navier-Stokes equation.

May 8-15, 2014, The University of Texas at Austin, "Kinetics, non standard diffusions and stochastics", Invited Speaker, Trend to equilibrium of the Vlasov-Poisson-Boltzmann system.

Selected activities (as audience)

May 2-6, 2019, Workshop on geometrical analysis and nonlinear PDEs, Harbin Institute of Technology, Harbin.

Nov 18-23, 2018, South China Normal University, Audience of "International Conference on Partial Differential Equations Theories, Numerics and Applications", Center for Applied Mathematics and Interdisciplinary Studies (CAMIS), Guangzhou, China

Nov 16-18, 2018, HuaQiao University, Audience of "Workshop on nonlinear partial differential equations of fluid mechenics and its applications", Quanzhou, China

Mar 21-12, 2018, Beijing Normal University, Audience of "Workshop on some aspects of incompressible Navier-Stokes equations", Beijing, China
Oct 9-Oct 10, 2015, Jinan University, Audience of "The Workshop on Partial Differential Equations and Applications", Guangzhou, China

July 28-Aug 1, 2014, Beijing Normal University, Audience of "A mini-course on Navier-Stokes equations" during BNU-PDE Workshop in 2014, Beijing, China

May 13-22, 2013, Rutgers and Courant Institute, Audience of "Mini-courses and Conference on Nonlinear Elliptic Equations", NJ, USA


Funds and Awards
2019/01--2022/12, National Natural Science Foundation of China, regular project;

2011/01--2013/12, National Natural Science Foundation of China for young scholars;
2010, Fund from China Scholarship Council for study abroad;
2009, Chinese Academy of Sciences Dean Scholarship for graduate students;
2008, 'Qiushi' scholarship for graduate students, from Hong Kong by Qiushi Science Foundation;


Websites
Department of Mathematics


MathSciNet

HIT Library

Chinese Mathematical Society