李志远

发布人：数学与统计学院发布时间：2018-11-29 浏览次数:1337

李志远 Zhiyuan Li

副教授

山东理工大学数学与统计学院

+86-185****3626, zyli@sdut.edu.cn

个人信息
• 出生年月：1986 年 01 月
• 籍贯：山东临沂
• 政治面貌：党员
• 婚姻状况：已婚
• 学历：研究生
• 学位：博士

教育经历
•
东京大学日本东京
数理科学研究科博士学位 2013.04 – 2016.03
– 博士论文：Mathematical Analysis for Anomalous Diﬀusion with Generalized Fractional Time
Derivatives
•
东京大学日本东京
数理科学研究科硕士学位 2011.10 – 2013.03
– 硕士论文：Initial-boundary value problems for non-symmetric linear diﬀusion equation with
multiple time-fractional derivatives and applications to some inverse problems
•
中国科学技术大学安徽合肥
数学科学学院博士课程 2010.09 – 2011.08
•
中国科学技术大学安徽合肥
数学科学学院硕士课程 2008.09 – 2010.08
•
安徽大学安徽合肥
数学与计算科学学院学士学位 2004.09 – 2008.08
– 学士论文：线性方程组的几何迭代解法及医学断层成像的数学模型
研究简介
师从日本反问题方向学术带头人山本昌宏教授，研究内容主要针对奇异介质中的异常扩散过程以及
与之对应的数学模型–分数阶反应扩散方程，进行了研究。研究工具主要涉及到了 Carleman 估计，
Dirichlet-to-Neumann 映射理论，调和分析等数学工具，并发表若干 SCI 论文。
科研经历
•
特任研究员东京大学
经费提供：JSPS 基盤研究 (S) 15H05740 2016.04.01 – 2017.09.30
– 合作者：山本昌宏教授
– 研究内容：异常扩散中的反演与预测。
•
学术访问艾克斯–马赛大学
经费提供：JSPS 基盤研究 (S) 15H05740 2015.11.22 – 2015.12.05
– 合作者：Eric Soccorsi 教授, Yavar Kian 教授
– 研究内容：分布型分数阶扩散方程的反问题。
•
学术访问柏林工业大学
经费提供：MEXT 数物先端 (FMSP) 2014.05.01 – 2014.06.30
– 合作者：Yuri Luchko 教授
– 研究内容：分布型分数阶扩散方程解的渐近行为。
科研经费
• Grant-in-Aid for Research Activity start-up 16H06712, JSPS
– 研究课题： Inversion and prediction problems in anomalous diﬀusion
– 研究期间： 2016.08.26 – 2018.03.31
– 经费总额： 2,600,000 日元 (直接经费：2,000,000 日元、间接经费：600,000 日元)
– 经费网址： https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-16H06712/
发表论文
1. Li Z, Kian Y, Soccorsi E. Initial-boundary value problem for distributed order time-fractional
diﬀusion equations, arXiv:1709.06823.
2. Li Z, Huang X, Yamamoto M. Carleman estimates for the time-fractional advection-diﬀusion
equations and applications. arXiv:1704.06011.
3. Jiang D, Li Z, Liu Y, Yamamoto M. Weak unique continuation and a related inverse source
problem for time fractional diﬀusion equations. Inverse Problems. 2017; 33(5): 055013.
4. Li Z, Luchko Y, Yamamoto M. Analyticity of solutions to a distributed order time-fractional
diﬀusion equation and its application to an inverse problem. Computers & Mathematics with
Applications. 2017; 73(6): 1041–1052.
5. Cheng X, Li Z, Yamamoto M. Asymptotic behavior of solutions to space-time fractional
diﬀusion equations. Mathematical Methods in the Applied Sciences. 2017; 40(4): 1019–1031.
6. Li Z, Imanuvilov OY, Yamamoto M. Uniqueness in inverse boundary value problems for
fractional diﬀusion equations. Inverse Problems. 2016; 32(1): 015004.
7. Li Z, Liu Y, Yamamoto M. Initial-boundary value problems for multi-term time-fractional
diﬀusion equations with positive constant coefcients. Applied Mathematics and Computation.
2015; 257: 381–397.
8. Li Z, Yamamoto M. Uniqueness for inverse problems of determining orders of multi-term
time-fractional derivatives of diﬀusion equation. Applicable Analysis. 2015; 94(3): 570–579.
9. Li Z, Luchko Y, Yamamoto M. Asymptotic estimates of solutions to initial-boundary-value
problems for distributed order time-fractional diﬀusion equations. Fractional Calculus and Applied
Analysis. 2014; 17(4): 1114–1136.
10. Li Z, Yamamoto M. Initial-boundary value problems for linear diﬀusion equation with multiple
time-fractional derivatives. arXiv: 1306.2778.
学术报告
1. An inverse problem for a frst order quasi-linear hyperbolic equation, International Conference on
Applied Statistics and Financial Mathematics, The Hong Kong Polytechnic University, Hong Kong,
China, December 18 2010.
2. Non-symmetric linear diﬀusion equation with multiple time-fractional derivatives and its inverse
problems, International Conference on Inverse Problems and Related Topics 2012, Southeast
University, Nanjing, China, October 24 2012.
3. Initial-boundary value problems for non-symmetric linear diﬀusion equation with multiple
fractional time-derivatives and applications to some inverse problems, Miniworkshop on Inverse
Problems and Related Topics, The University of Tokyo, Tokyo, Japan, March 27 2013.
4. Initial-boundary value problems for the linear diﬀusion equation with multiple time-fractional
derivatives and applications to some inverse problems, The 6th Pacifc RIM Conference on
Mathematics 2013, Hokkaido University, Sapporo, Japan, July 1–5 2013.
5. Initial-boundary value problems for diﬀusion equation with multiple time-fractional derivatives and
some inverse problems, International Workshop on Inverse Problems and Regularization Theory,
Fudan University, Shanghai, China, September 28 2013.
6. Initial-boundary value problems for multi-time-fractional diﬀusion equation and its inverse
problems, Conference on Diﬀusion in Heterogeneous Media and Related Topics, The University of
Tokyo, Tokyo, Japan, March 7 2014.
7. Initial-boundary value problems for multi-time-fractional diﬀusion equations and some inverse
problems, Recent Progress in Mathematical and Numerical Analysis of Inverse Problems, CIRM,
Luminy, Marseille, France, May 22, 2014.
8. Asymptotic estimates of solutions to initial-boundary-value problems for time-fractional diﬀusion
equations of distributed orders, 2014 A3 Foresight Program Conference on Modeling and
Computation of Applied Inverse Problems, ICC, Jeju, Korea, November 22 2014.
9. Uniqueness for inverse problems of determining orders of multi-term time-fractional derivatives of
diﬀusion equations, 2014 A3 Seoul-Tokyo Conference on Applied Partial Diﬀerential Equations,
KIAS, Seoul, Korea, December 14 2014.
10. Determination of source term in a distributed order time-fractional diﬀusion equation, The 7th
International Conference on Inverse Problems and Related Topics, National Taiwan University,
Taipei, Taiwan, December 17 2014.
11. Mathematical Analysis for fractional diﬀusion equations, PDE seminar, Aix Marseille University,
Marseille, France, November 25 2015.
12. A survey on weak unique continuation for multi-term time-fractional diﬀusion equations, Central
China Normal University, Wuhan, China, February 23 2016.
13. An inverse problem for distributed order time-fractional diﬀusion equation, International
Conference on Inverse Problems and Related Topics 2016, Iwha Womans University, Seoul, Korea,
July 28 2016.
14. Forward and inverse problems for the time-fractional diﬀusion equations, Shandong University of
Technology, Zibo, China, October 26 2016.
15. Carleman estimates for the time-fractional diﬀusion equations and applications, Inverse problems
for partial diﬀerential equations and related areas, Research Institute of Mathematical Sciences,
Kyoto University, Kyoto, Japan, January 26 2017.
16. A survey on inverse problems for time-fractional diﬀusion equations, Hohai University, Nanjing,
China, March 20 2017.
17. Mathematical analysis for diﬀusion equations with generalized fractional time derivatives,
University of Science and Technology of China, Hefei, China, April 5 2017.
18. An inverse problem for distributed order time-fractional diﬀusion equations, Applied Inverse
Problems 2017, Hangzhou, China, June 01 2017.
工作经历
•
东京大学特任研究员
数理科学研究科 2016.04 – 2017.09
•
山东理工大学副教授
数学与计算科学学院 2017.09 – 至今
获奖情况
东京大学数理科学研究科科长赏 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2016
东京大学数理科学研究科科长赏 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2013
国家建设高水平大学公派研究生 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2011
安徽省高等学校品学兼优毕业生 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2008
计算机技能
• 程序语言
– 熟练： LATEX, Python
– 一般： MATLAB, Scilab, C 语言
• 常用软件
– Linux, 微软 Excel, 微软 Word