袁源(Yuan Yuan) 副研究员 Email: yyuan2102@m.scnu.edu.cn 研究方向:偏微分方程 |
Education
2015.09–2018.08Ph.D. in Mathematics, Department of Mathematics,
The Chinese University of Hong Kong, Hong Kong, China.
Supervisors: Prof. Zhouping Xin.
Thesis Title:
On Free Boundary Problem of the Full Compressible Navier-Stokes Equations.
2013.08–2015.08M.Phil in Mathematics, Department of Mathematics,
The Chinese University of Hong Kong, Hong Kong, China.
Supervisors: Prof. Zhouping Xin.
Thesis Title:
On Variational Solutions of the Non-isentropic Self-gravitating Fluid Problem.
2009.09–2013.06Bachelor of Science in Mathematics, Department of Mathematics
Jilin University, Changchun, Changchun, China.
Research Interests
Nonlinear partial differential equations, Navier-Stokes Equations, Gaseous star problems, Conservation Laws.
Research Activities
March 2018, invited talks, Workshop on Compressible Naiver-Stokes Systems and Related Problems, The Institute of Mathematical Sciences, Hong Kong, China
Publications and Preprints
1. Z. Xin, Q. Yuan, Y. Yuan, Asymptotic stability of shock profiles under periodic perturbations oscillating at infinity for 1-D convex scalar viscous conservation laws, Preparing;
2. Z. Xin, Q. Yuan, Y. Yuan, Asymptotic stability of shock waves and rarefaction waves under periodic perturbations for 1-D convex scalar conservation laws, Submitted, Avaliable at : https://arxiv.org/abs/1809.09308;
3. X. Liu, Y. Yuan, Local existence and uniqueness of strong solutions to the free boundary problem of the full compressible Navier-Stokes Equations in 3D, Submitted, Avaliable at : https://arxiv.org/abs/1802.00127;
4. Y. Yuan, On the existence of non-isentropic rotating gaseous stars, Submitted, Avaliableat : https://arxiv.org/abs/1710.02915.