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
中国博士后科学基金第2批特别资助(站前),2020/09-2021/05
第66批中国博士后科学基金面上资助(二等),2019/12-2021/05
2019年中国博士后国际交流计划引进项目,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
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Planar viscous shocks with periodic perturbations for scalar multi-dimensional viscous conservation laws.
Qian Yuan. (preprint)
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Asymptotic stability of planar rarefaction waves for 3-d isentropic Navier-Stokes equations under periodic perturbations.
Feimin Huang, Lingda Xu, Qian Yuan. (preprint)
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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. (accepted)
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Stability of planar rarefaction waves for scalar viscous conservation law under periodic perturbations.
Feimin Huang, Qian Yuan. Methods Appl. Anal. (accepted)
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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. (accepted)
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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.
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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.
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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.
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联系方式
中科院数学与系统科学研究院思源楼818
010-82541215
qyuan@amss.ac.cn