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基本信息
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教育背景
2015.09 – 2018.08 博士,数学专业,香港中文大学数学系,导师:辛周平 教授
2013.08 – 2015.08 硕士,数学专业,香港中文大学数学系,导师:辛周平 教授
2009.09 – 2013.06 学士,数学与应用数学专业,吉林大学
2015.09 -- 2018.08 Ph.D. The Chinese University of Hong Kong.
Supervisors: Prof. Zhouping Xin.
2013.08 -- 2015.08 M.Phil. The Chinese University of Hong Kong.
Supervisors: Prof. Zhouping Xin.
2009.09 -- 2013.06 Bachelor. Jilin University.
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工作经历
2022.12 – 至今 副研究员,数学科学学院,华南师范大学
2018.09 – 2022.11 讲师,华南数学应用与交叉研究中心/数学科学学院,华南师范大学
2019.05 – 2020.03 博士后,布雷西亚大学, 导师:Paolo Secchi 教授
2018.09 -- Present Special associate research fellow, CAMIS, South China Normal University,
2019.05 -- 2020.03 Postdoc, University of Brescia, Supervisor: Prof. Paolo Secchi.
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研究领域
Partial differential equations, Navier-Stokes equations, Gaseous star problems, Conservation laws,
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科研项目
2020.01.01--2022.12.31: 非等熵气体方程的真空自由界面问题的一些研究;国家自然科学基金青年科学基金项目;主持
2021.01--2023.12 含真空情形的可压Navier-Stokes方程的有界熵解的存在性问题;广东省自然科学基金面上项目;主持
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教学经验
2022-2023 高等数学I
2021-2022 高等数学I
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论文发布
Y. Yuan: Variational rotating solutions to non-isentropic Euler-Poisson equations with prescribed total mass. Sci. China. Math. 65 (2022), 2061-2078.
P. Secchi, Y. Yuan: Weakly nonlinear surface waves on the plasma-vacuum interface. J. Math. Pures Appl. (9) 163 (2022), 132–203.
Q. Yuan, Y. Yuan: Periodic perturbations of a composite wave of two viscous shocks for 1-D full compressible Navier-Stokes equations. SIAM J. Math. Anal. 54 (2022), no. 3, 2876–2905.
Z. Xin, Q. Yuan, Y. Yuan: Asymptotic stability of shock waves and rarefaction waves under periodic perturbations for 1-D convex scalar conservation laws. Indiana Univ. Math. J. 70 (2021), no. 6, 2295–2349.
Q. Yuan, Y. Yuan: On Riemann solutions under different initial periodic perturbations at two infinities for 1-d scalar convex conservation laws. J. Differential Equations 268 (2020), no. 9, 5140–5155.
X. Liu, Y. Yuan: The self-similar solutions to full compressible Navier-Stokes equations without heat conductivity. Math. Models Methods Appl. Sci. 29 (2019), no. 12, 2271–2320.
Z. Xin, Q. Yuan, Y. Yuan: Asymptotic stability of shock profiles and rarefaction waves under periodic perturbations for 1-d convex scalar viscous conservation laws. SIAM J. Math. Anal. 51 (2019), no. 4, 2971–2994.
X. Liu, Y. Yuan: Local existence and uniqueness of strong solutions to the free boundary problem of the full compressible Navier-Stokes Equations in three dimensions. SIAM J. Math. Anal. 51(2019), no.2, 748–789.
研究人员 Faculty
![](http://statics.scnu.edu.cn/pics/mai/2020/0807/thumb_234_288_20200807111208250.jpg)
袁源 (Yuan Yuan)
学历/职称:
博士/讲师
研究方向:
偏微分方程(流体动力学)
联系方式:
yyuan2102@m.scnu.edu.cn