个人简介

袁谦，现为中国科学院数学与系统科学研究院助理研究员。主要研究非线性双曲守恒律、可压缩Navier-Stokes方程等方程的周期扰动问题及解的长时间渐进行为。主要论文发表在“Comm. Math. Phys.”、“SIAM J. Math. Anal.”和“J. Differential Equations”等国际刊物上。

教育经历

2016/08-2019/07：香港中文大学，数学系，哲学博士

2012/09-2016/06：南京大学，数学系，理学硕士

2008/09-2012/06：南京大学，数学系，理学学士

工作经历

2021/06-至今：中国科学院数学与系统科学研究院，应用数学研究所，助理研究员

2019/08-2021/05：中国科学院数学与系统科学研究院，华罗庚数学科学中心，博士后

主持科研项目

第12批中国科学院青年创新促进会资助（在研），2022/01-2026/01
中国博士后科学基金第2批特别资助（站前，结题），2020/09-2021/05
第66批中国博士后科学基金面上资助（二等，结题），2019/12-2021/05
2019年中国博士后国际交流计划引进项目（结题），2019/08-2021/05

研究方向

: 双曲守恒律和粘性守恒律的解的长时间渐进行为

学术论文

Nonlinear asymptotic stability of planar viscous shocks for 3D compressible Navier-Stokes equations with periodic perturbations
Qian Yuan. (Submitted)
Planar viscous shocks with periodic perturbations for scalar multi-dimensional viscous conservation laws.
Qian Yuan. (Submitted)
Asymptotic stability of planar rarefaction waves for 3-d isentropic Navier-Stokes equations under periodic perturbations.
Feimin Huang, Lingda Xu, Qian Yuan. Adv. Math. 404 (2022), Paper No. 108452, 27 pp.
Asymptotic stability of shock waves and rarefaction waves under periodic perturbations for 1-D convex scalar conservation laws.
Qian Yuan, Yuan Yuan. SIAM J. Math. Anal. 54 (2022), no. 3, 2876–2905.
Stability of planar rarefaction waves for scalar viscous conservation law under periodic perturbations.
Feimin Huang, Qian Yuan. Methods Appl. Anal. 28 (2021), no. 3, 337–353.
Asymptotic stability of shock profiles and rarefaction waves under periodic perturbations for 1-d convex scalar viscous conservation laws.
Zhouping Xin, Qian Yuan, Yuan Yuan. Indiana Univ. Math. J. 70 (2021), no. 6, 2295–2349.
Stability of large-amplitude viscous shock under periodic perturbation for 1-d isentropic Navier-Stokes equations.
Feimin Huang, Qian Yuan. Comm. Math. Phys. 387 (2021), no. 3, 1655–1679.
On Riemann solutions under different initial periodic perturbations at two infinities for 1-d scalar convex conservation laws.
Qian Yuan, Yuan Yuan. J. Differential Equations 268 (2020), no. 9, 5140–5155.
Asymptotic stability of shock waves and rarefaction waves under periodic perturbations for 1-D convex scalar conservation laws.
Zhouping Xin, Qian Yuan, Yuan Yuan. SIAM J. Math. Anal. 51 (2019), no. 4, 2971–2994.