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袁源

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数学科学学院
博士
研究方向:流体偏微分方程的数学理论研究
     yyuan2102@m.scnu.edu.cn
2013.08–2018.08   硕士&博士，香港中文大学

2009.09–2013.06　学士，吉林大学
 
2022.12 – 至今        副研究员，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
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

 
2025-2026，数学分析（3）
2023-2024，高等数学（III-1）
2023-2024，数学分析（2）
2023-2024，数学分析（1）
2022-2023，高等数学（I-1）
2021-2022，高等数学（I-1）
  1. 2025.01--2028.12；国家自然科学基金面上项目；主持
  2. 2021.01--2023.12；广东省自然科学基金面上项目；主持
  3. 2020.01--2022.12；国家自然科学基金青年科学基金项目；主持
  1. Q. Yuan, Y. Yuan: Shock waves with non-localized perturbations for 1D scalar convex conservation laws. Methods Appl. Anal. 32 (2026), no. 4, 331-344.
  2.  Y. Li, Y. Mei, Y. Yuan: Asymptotic stability of shock profiles and rarefaction waves to the Navier-Stokes-Poisson system under space-periodic perturbations. J. Differential Equations 420 (2025), no. 9, 5140–5155.
  3. X. Liu, Y. Yuan: Immediate blowup of entropy-bounded classical solutions to the vacuum free boundary problem of nonisentropic compressible Navier–Stokes equations. SIAM J. Math. Anal. 51(2023), no.3, 1524-1544.
  4. Y. Yuan: Variational rotating solutions to non-isentropic Euler-Poisson equations with prescribed total mass. Sci. China. Math. 65 (2022), 2061-2078.
  5. P. Secchi, Y. Yuan: Weakly nonlinear surface waves on the plasma-vacuum interface.  J. Math. Pures Appl. (9) 163 (2022), 132–203. 
  6. 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.
  7. 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. 
  8. 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.
  9. 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.
  10. 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.
  11. 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.