主要研究兴趣：

1. 偏微分方程和数学流体力学；

2. 新能源光伏出力预测；

3. 神经网络应用

个人简介

屈爱芳，教授，博士生导师。2005年于武汉大学数学基地班获得学士学位，2010年于复旦大学基础数学专业获得博士学位。主持4项国家自然科学基金项目（含2项面上）。在微分方程和数学流体力学权威期刊《J. Differential Equations》 、《Arch. Ration. Mech. Anal.》、《SIAM J. Math. Anal.》等发表论文二十余篇；入选了2024年上海市东方英才拔尖计划。担任美国《数学评论》评论员、国家自然科学基金通讯评审专家等。

工作经历

2017.02-至今 上海师范大学数学系 教授

2012.10-2017.01 中科院武汉物理与数学研究所 副研究员

2010.07-2012.09 中科院武汉物理与数学研究所 助理研究员

教育经历

2005.09-2010.06 复旦大学 基础数学专业 博士

2001.09-2005.06 武汉大学 数学基地班 学士

发表论文

27. Peiyu Zhang, Aifang Qu, Hairong Yuan. The motion and mass growth of droplets with phase transitions in a homogeneous medium. Physica D: Nonlinear Phenomena 477(2025), 134683.

https://authors.elsevier.com/a/1l5B5c2EevpEH

26. Aifang Qu; Hairong Yuan; Renxiong Zhao; Measure-valued solution for moving piston in pressureless Euler flows by the method of integration on path space. Mathematische Annalen 392(2025), 1203–1251.

https://doi.org/10.1007/s00208-025-03124-7

25. Gao, Qihui; Qu, Aifang; Yang, Xiaozhou; Yuan, Hairong; High concentration property on discontinuity in two-dimensional unsteady compressible Euler equations. J. Differential Equations 427(2025), 194--218.

24. Zhao, Renxiong; Qu, Aifang; Yuan, Hairong; Probability measures on path space for rectilinear damped pressureless Euler-Poisson equations. J. Diferential Equations 387 (2024), 152-199.
23. Sun, Yinzheng; Qu, Aifang; Yuan, Hairong; The Riemann problem for isentropic compressible Euler equations with discontinuous flux. Acta Math. Sci. Ser. B (Engl. Ed.) 44(2024), no. 1, 37-77.
22. Qu, Aifang; Yuan, Hairong; Steady compressible Euler equations of concentration layers for hypersonic-limit flows passing three-dimensional bodies and generalized Newton-Busemann pressure law. Chinese Ann. Math. Ser. B 44 (2023), no. 4, 561-576.

21. Jin, Yunjuan; Qu, Aifang; Yuan, Hairong; Radon measure solutions to Riemann problems for isentropic compressible Euler equations of polytropic gases. Commun. Appl. Math. Comput. 5 (2023), no. 3, 1097-1129.
20. Jin, Yunjuan; Qu, Aifang; Yuan, Hairong; On two-dimensional steady hypersonic-limit Euler flows passing ramps and Radon measure solutions of compressible Euler equations. Commun. Math. Sci. 20 (2022), no. 5, 1331-1361.
19. Gao, Le; Qu, Aifang; Yuan, Hairong; Delta shock as free piston in pressureless Euler flows. Z. Angew. Math. Phys. 73 (2022), no. 3, Paper No. 114, 14 pp.
18. Jin, Yunjuan; Qu, Aifang; Yuan, Hairong; Radon measure solutions for steady compressible hypersonic-limit Euler flows passing cylindrically symmetric conical bodies. Commun. Pure Appl. Anal. 20 (2021), no. 7-8, 2665-2685.
17. Qu, Aifang; Wang, Li; Yuan, Hairong; Radon measure solutions for steady hypersonic-limit Euler flows passing two-dimensional finite non-symmetric obstacles and interactions of free concentration layers. Commun. Math. Sci. 19 (2021), no. 4, 875-901.
16. Chen, Tingting; Qu, Aifang; Wang, Zhen; Existence and Uniqueness of the Global L1 Solution of the Euler Equations for Chaplygin Gas. Acta Math. Sci. Ser. B (Engl. Ed.) 41 (2021), no. 3, 941-958.
15. Qu, Aifang; Yuan, Hairong; Zhao, Qin; Hypersonic limit of two-dimensional steady compressible Euler flows passing a straight wedge. ZAMM Z. Angew. Math. Mech. 100 (2020), no. 3, e201800225, 14 pp.
14. Qu, Aifang; Yuan, Hairong; Radon measure solutions for steady compressible Euler equations of hypersonic-limit conical flows and Newton’s sine-squared law. J. Diferential Equations 269 (2020), no. 1, 495-522.
13. Qu, Aifang; Yuan, Hairong; Zhao, Qin; High Mach number limit of one-dimensional piston problem for non-isentropic compressible Euler equations: polytropic gas. J. Math. Phys. 61 (2020), no. 1, 011507, 14 pp.
12. Qu, Aifang; Yuan, Hairong; Measure solutions of one-dimensional piston problem for compressible Euler equations of Chaplygin gas. J. Math. Anal. Appl. 481 (2020), no. 1, 123486, 10 pp.

9. Chen Tingting; Qu Aifang; Wang Zhen; The Two-Dimensional Riemann Problem for Isentropic Chaplygin Gas. Mathematica Acta Scientia. 2017,37A(6):1053-1061.
8. Chen Tingting; Qu Aifang; Two-dimensional Riemann problem for Chaplygin gas dynamics in four pieces. J. Math. Anal. Appl. 448 (2017), 580-597.
7. Shuxing Chen; Qu Aifang; Interaction of Rarefaction Waves and Vacuum in a Convex Duct. Archive for Rational Mechanics and Analysis 213(2)(2014), 423-446.
6. Qu, Aifang; Wang, Zhen; Stability of the Riemann solutions for a Chaplygin gas. J. Math. Anal. Appl. 409(1)(2014), 347-361.
5. Chen, Shuxing; Qu, Aifang; Two-Dimensional Riemann Problems for Chaplygin Gas. SIAM J. Math. Anal., 44(3)(2012), 2146-2178.
4. Chen, Shuxing; Qu, Aifang; Riemann boundary value problems and reflection of shock for the Chaplygin gas. SCIENCE CHINA Mathematics, 55(2012), no. 4, 671-685.
3. Qu, Aifang; On closed Dirichlet problem for a mixed-type equation in the cold plasma model. Chinese Annals of Mathematics, Series A 32(2011), no.2, 245-256.
2. Chen, Shuxing; Qu, Aifang; Interaction of rarefaction waves in jet stream. J. Differential Equations 248(2010), no.12, 2931-2954.
1. Qu, Aifang; The Fundamental Solution for the Tricomi Operator. Acta Math. Sinica (Chinese series) 51(2008), no.4, 625-632.

主持项目

1.国家自然科学基金面上项目，超音速绕流中若干问题的研究，No.12071298，2021.01-2024.12

2.国家自然科学基金面上项目，超音速绕流及线性退化双曲组中若干问题的研究，No.11571357，2016.1-2019.12.
3.国家自然科学基金青年基金项目，一类高维拟线性双曲型守恒律组初边值问题的研究，No.11201467，2013.1-2015.12.
4.国家自然科学基金数学天元专项，二维Euler方程的Y-型两维黎曼问题，No.11128181，2012.1-2012.12.