Jiang Xiaoyun, a second-class professor in the school of mathematics of Shandong University, a distinguished professor of Shandong University, the leader of the national "Ten Thousand Talents Program" (a famous teacher), a National Model of Women, a member of the national non-Newtonian Fluid Mechanics Committee and a leader of the national key discipline "Applied Mathematics" of Shandong University. She served as co-chair of the local organization committee at the Fifth International Conference on fractional theory and applications, and served as a member of the program committee at the Sixth International Conference on fractional theory and applications. She made an invitation report at the first Sino German bilateral conference on fractional calculus. She has won one second prize of Natural Science Award of Shandong Province (first place, 2016), one second prize of National Teaching Achievement Award (first place, 2018), presided over one major research plan / cultivation project of National Natural Science Foundation of China, and presided over three general projects of National Natural Science Foundation of China. She is a leading talent (Teaching Master) evaluation expert of the "Ten Thousand Talents Program", a Yangtze River scholar of the Ministry of education and a communication evaluation expert of the National Natural Science Foundation of China. She is a reviewer of many journals in Springer, Elsevier and other databases. She is one of the earliest scholars engaged in the research of fractional calculus theory and applications, non-Newtonian fluid mechanics and other fields. She has solved many difficult problems in modeling and calculation in the process of anomalous transport, and made important contributions to the development of fractional calculus theory and applications, and provided important theoretical basis for interdisciplinary research. More than 60 SCI papers have been published by the first author or corresponding author, and more than 700 citations have been cited by SCI. Five papers have been selected as highly cited papers in ESI for three consecutive years. The relevant achievements have been published in the authoritative journals of computational mathematics and applied mathematics, SIAM Journal on Numerical Analysis, Journal of Scientific Computing, Journal of Computational Physics, Nonlinear Dynamics, Applied Mathematical Modeling, etc.
Mainly engaged in fractional calculus theory and applications, non-Newtonian fluid mechanics, complex medium modeling, analytical and numerical calculation, parameter identification, modeling and calculation in anomalous transport process
(26)林爱华. 粒子入射双δ势垒时空间分数阶薛定谔方程的解 .山东大学学报:工学版 .2010 ,40 (1):139-143
(60)Jiang Xiaoyun. Some Applications of Fractional Quantum Mechanics .2008 :688-691
(61)续焕英. Analysis of the time fractional dual-phase-lag Cattaneo diffusion equation .2014
(62)Jiang Xiaoyun. Fractional Heat Flow Model In Tissue Containing A Prevascular Tumor .2012
(83)Jiang Xiaoyun. 复杂人体组织传热的时间分数阶模型及其解 .《山东大学学报》(理学版) .2012 ,47 (6)
(104)Jiang Xiaoyun. 有限分形介质中带有分数阶振子的分数阶反应扩散方程及其解析解 .《山东大学学报》(理学版) .2009 ,44 (2)
(107)Jiang Xiaoyun. 粒子入射双δ势垒时空分数阶薛定谔方程的解 .山东大学学报(工学版) .2010 ,40 (1)
(110)Jiang Xiaoyun. 分形生物组织传热方程及其解析解 .《山东大学学报》(理学版) .2012 ,47 (10):105
1. 基于肿瘤微环境的胰腺癌放射性粒子植入治疗策略及超微结构调控方法-胰腺肿瘤微环境耦合模型及高效并行算法, 2025-01-18-2026-12-31
2. 复杂经济系统分析、控制博弈的科学计算, 2023-12-01-2028-11-30
3. 高维磁流体非局部模型快速计算及智能化算法, 2022-01-01-2025-03-31
4. 心血管系统流固耦合的多尺度流体动力学模型, 2021-12-01-2026-11-30
5. 脑组织微循环氧气传输与神经血管交互调节的多场耦合模型, 2021-12-01-2026-11-30
6. 复杂磁流体耦合分数阶模型高效算法及应用研究, 2021-08-18-2026-12-31
7. 复杂磁流体耦合分数阶模型高效算法及应用研究, 2021-10-12-2026-12-31
8. Control and Countermeasure of nonlinear stochastic system, 2019-11-18-2025-03-31
1. Top ten models of teachers' Ethics in Shandong Province
2. Second prize of Natural Science of Shandong Province (the first one)
3. The first batch of National Excellent Online Open Courses (the first one)
4. First prize of Shandong Province Teaching Achievement Award (the first one)
5. First prize of Shandong Province Teaching Achievement Award (the first one)
6. Famous teacher of national ten thousand talents program
7. National May 1 female pacesetter
8. Science and Technology Technology Award of Shandong Province