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师资队伍


名: 严夺魁

称: 教授(博导)

所属系别: 应用数学系

学科专业: 动力系统,变分法,天体力学

办公地点: 沙河主楼E604-7

电子邮箱: duokuiyan@buaa.edu.cn

教育背景

  • 1999-2003:南开大学数学系,本科

  • 2004-2009:美国Brigham Young University,博士,导师:欧阳天成教授


工作简历

  • 2009-2011:南开大学陈省身数学所博士后,合作导师:龙以明院士

  • 2011-2015:best365网页,数学与系统科学学院,讲师

  • 2015-2020:best365网页,best365网页版登录,副教授

  • 2020至今:best365网页,best365网页版登录,教授


科研项目

  • 主持国家自然科学基金面上项目:N体问题中几类特殊周期轨道的存在性研究,2019.1-2022.12

  • 主持国家自然科学基金青年基金:N体问题中两类特殊周期轨道的存在性和稳定性,2012.1-2014.12

  • 参与国家自然科学基金重点项目:深空探测中的若干关键非线性不确定性动力学与控制问题研究,2015.1-2019.12


代表作论著

1. Liu, Jiayin; Yan, Duokui; Zhou, Yuan; Existence of hyperbolic motions to a class of Hamiltonians and generalized N-body system via a geometric approach, Archive for Rational Mechanics and Analysis, 2023, (247): 64;


2. Chang, Xiaojun; Liu, Manting; Yan, Duokui; Normalized ground state solutions of nonlinear Schrödinger equations involving exponential critical growth, Journal of Geometric Analysis, 2023, (33): 83;


3. Chang, Xiaojun; Wang, Ru; Yan, Duokui; Ground States for Logarithmic Schrödinger Equations on Locally Finite Graphs, Journal of Geometric Analysis, 2023, (33): 211;


4. Kuang, Wentian; Yan, Duokui; Geometric properties of minimizers in the planar three-body problem with two equal masses, Calculus of Variations and Partial Differential Equations, 2022, (61): 8;


5. Liu, Rongchang; Yan, Duokui; Exclusion of quadruple collisions in minimizers of the planar equal-mass N-body problem, Journal of Differential Equations, 2021, (287): 113--147;


6. Kuang, Wentian; Ouyang, Tiancheng; Yan, Duokui; A symmetric spatial periodic orbit in the 2n-body problem, Journal of Dynamics and Differential Equations, 2021, (33): 1605--1614;


7. Kuang, Wentian; Ouyang, Tiancheng; Xie, Zhifu; Yan, Duokui;  The Broucke-Henon orbit and the Schubart orbit in the planar three-body problem with two equal masses, Nonlinearity, 2019, (32): 4639--4664;


8. Kuang, Wentian; Yan, Duokui; Existence of prograde double-double orbits in the equal-mass four-body problem, Advanced Nonlinear Studies, 2018, (18):819--843;


9. Yan, Duokui; Action minimizers under topological constraints in the planar equal-mass four-body problem, Journal of Differential Equations, 2018, (264): 4764--4805;


教学活动

多次主讲《拓扑学引论》、《泛函分析》、《微分几何》、《微分流形》等本科和研究生课程。


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