个人简介

  秦国林（Guolin Qin），博士，中国科学院数学与系统科学研究院优秀青年副研究员。主要从事非线性泛函分析与偏微分方程的研究，研究兴趣包括椭圆方程解的刚性与分类、不可压欧拉方程稳态解的存在性和稳定性，以及非稳态解的演化与增长等。主要研究成果发表在 Adv. Math.、Ann. PDE、Int. Math. Res. Not.、J. Funct. Anal.、Math. Ann.、SIAM J. Math. Anal. 和 Trans. Amer. Math. Soc. 等期刊上。入选2023年度博士后创新人才支持计划，获评2024年度北京市优秀博士学位论文。


教育经历

2018.9-2023.6：中国科学院数学与系统科学研究院，理学博士

2014.9-2018.6：北京航空航天大学华罗庚实验班，理学学士


 

工作经历

2025.6-至今：中国科学院数学与系统科学研究院，优秀青年副研究员

2023.7-2025.6：北京大学数学科学学院，博士后 



研究方向

椭圆型偏微分方程
非线性泛函分析
不可压缩欧拉方程
分数阶微分算子

主要论文

  1. Helical Kelvin waves for the three-dimensional Euler equations.

    Daomin Cao, Boquan Fan, Rui Li, Guolin Qin, SIAM J. Math. Anal. 58 (2026), no. 1, 335–371.

  2. Uniqueness and stability of steady vortex rings for 3D incompressible Euler equation.

    Daomin Cao, Shanfa Lai, Guolin Qin, Weicheng Zhan, Changjun Zou, Math. Ann. 394 (2026), no. 1, Paper No. 9, 96 pp.

  3. Uniqueness and stability of traveling vortex pairs for the incompressible Euler equation.

    Daomin Cao, Guolin Qin, Weicheng Zhan, Changjun Zou, Ann. PDE 11 (2025), no. 1, Paper No. 1, 55 pp.

  4. 2.Slow traveling-wave solutions for the generalized surface quasi-geostrophic equation.

    Daomin Cao, Shanfa Lai, Guolin Qin, J. Funct. Anal. 287 (2024),no. 8, Paper No. 110570, 59 pp.

  5. Classification of solutions to conformally invariant systems with mixed order and exponentially increasing or nonlocal nonlinearity.

    Wei Dai, Guolin Qin, SIAM J. Math. Anal. 55 (2023), no. 3, 2111–2149.

  6. Kármán vortex street for the generalized surface quasi-geostrophic equation.

    Daomin Cao, Guolin Qin, Weicheng Zhan, Changjun Zou, Calc. Var. Partial Differential Equations 62 (2023), no. 6, Paper No. 168, 35 pp.

  7. Liouville-type theorems for fractional and higher-order Hénon-Hardy type equations via the method of scaling spheres.

    Wei Dai, Guolin Qin, Int. Math. Res. Not. IMRN 2023, no. 11, 9001–9070.

  8. Remarks on orbital stability of steady vortex rings.

    Daomin Cao, Guolin Qin, Weicheng Zhan, Changjun Zou, Trans. Amer. Math. Soc. 376 (2023), no. 5, 3377–3395.

  9. Existence and stability of smooth traveling circular pairs for the generalized surface quasi-geostrophic equation.

    Daomin Cao, Guolin Qin, Weicheng Zhan, Changjun Zou, Int. Math. Res. Not. IMRN 2023, no. 6, 4761–4804.

  10. Global solutions for the generalized SQG equation and rearrangements.

    Daomin Cao, Guolin Qin, Weicheng Zhan, Changjun Zou, Trans. Amer. Math. Soc. 376 (2023), no. 3, 2181–2211.

  11. Liouville type theorems, a priori estimates and existence of solutions for critical and super-critical order Hardy-Hénon type equations in R^n

    Wenxiong Chen，Wei Dai， Guolin Qin，Math. Z., 2023, 303 (4): Paper No. 104, 36 pp.

  12. On the global classical solutions for the generalized SQG equation.

    Daomin Cao, Guolin Qin, Weicheng Zhan, Changjun Zou, J. Funct. Anal. 283 (2022), no. 2, Paper No. 109503, 37 pp.

  13. Liouville type theorems, a priori estimates and existence of solutions for sub-critical order Lane—Emden—Hardy equations.

    Wei Dai, Shaolong Peng, Guolin Qin, J. d'Analyse Math.，146, 673–718 (2022).

  14. Liouville type theorem for critical order Hénon-Lane-Emden type equations on a half space and its applications.

    Wei Dai, Guolin Qin, J. Funct. Anal. 281 (2021), no. 10, Paper No. 109227, 37 pp.

  15. Super poly-harmonic properties, Liouville theorems and classification of nonnegative solutions to equations involving higher-order fractional Laplacians.

    Daomin Cao, Wei Dai, Guolin Qin, Trans. Amer. Math. Soc. 374 (2021), no. 7, 4781–4813.

  16. Classification of nonnegative solutions to static Schr？dinger-Hartree-Maxwell type equations.

    Wei Dai, Zhao Liu, Guolin Qin, SIAM J. Math. Anal. 53 (2021), no. 2, 1379–1410.

  17. Classification of nonnegative classical solutions to third-order equations.

    Wei Dai, Guolin Qin, Adv. Math. 328 (2018), 822–857.

预印本论文

  1. Growth of vorticity gradient for the Euler equation on the sphere.

    Daomin Cao, Junhong Fan, Guolin Qin, 25 pp, 2026.

  2. On concentrated vortices of 3D incompressible Euler equations under helical symmetry: with swirl.

    Guolin Qin, Jie Wan, 49 pp, 2024.

  3. Method of scaling spheres: Liouville theorems in inner or outer (unbounded or bounded) generalized radially convex domains, blowing-up analysis on domains with not necessarily C^1 boundary and other applications

    Wei Dai, Guolin Qin, 85pp, 2023.

  4. Uniqueness and stability of steady vortex rings for 3D incompressible Euler equation.

    Daomin Cao, Shanfa Lai, Guolin Qin, Weicheng Zhan, Changjun Zou, 62 pp, 2022.

  5. Existence, uniqueness and stability of steady vortex rings of small cross-section.

    Daomin Cao, Guolin Qin, Weilin Yu, Weicheng Zhan, Changjun Zou, 80 pp, 2022.

  6. Variational principle for helical symmetry vortices for the 3D incompressible Euler equations.

    Daomin Cao, Guolin Qin, 44 pp, submitted, 2023

  7. Vortex stretching for helically symmetric swirl-free Euler flows in $\mathbb R^3$

    Daomin Cao, Junhong Fan, Dengjun Guo, Guolin Qin, Juncheng Wei, 44 pp, submitted, 2026.

  8. Existence of general helical multiple vortices for the 3D Euler equations.

    Junhong Fan, Guolin Qin, Jie Wan, 44 pp, submitted, 2026

  9. Rigidity and Stability of Concentrated Vortices: A Unified Approach via Contour Dynamics Equations.

    Guolin Qin, 66 pp, submitted, 2025

  10. Global theory of vortex pairs for the generalized surface quasi-geostrophic equation

    Guolin Qin, 41 pp, submitted, 2025

联系方式

地址：北京市中关村东路55号中国科学院数学院蓝白楼612

glqin@amss.ac.cn

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