研究人员 Faculty

https://mathscinet.ams.org/mathscinet/search/author.html?mrauthid=1313016

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.

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.

Partial differential equations, Navier-Stokes equations, Gaseous star problems, Conservation laws, 

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

2022-2023   高等数学I

2021-2022   高等数学I

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.