Education

1999.9---2003.7： Nankai University, B.S. in Mathematics.

2004.8---2009.12： Brigham Young University, Ph.D in Mathematics. Advisor: Prof. Tiancheng Ouyang. 

Working Experience

2009.9---2011.7： Nankai University, Chern Institute of Mathematics, Postdoc, supervisor: Prof. Yiming Long.

2011.7-2015.7： Beihang University, School of Mathematics and System Sciences, Lecturer.

2015.7-2020.7:  Beihang University, School of Mathematics and System Sciences, Associate Professor. 

2020.7-present:  Beihang University, School of Mathematical Sciences, Professor. 

Research Interest

Hamiltonian System, Variational method, Celestial mechanics, Index theory 

Research Fund 

June 2011---July 2012： Postdoc fund; 

Mar. 2012---Dec. 2012： Beihang Haiyou Project;

Jan. 2012---Dec. 2014： Young Scientist Fund of NSFC;

Sep. 2017---Dec. 2019： Beihang Tip-top Talent Project;

Jan. 2019---Dec. 2022： NSFC Fund.

Publications

27. 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;

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

25. 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;

24. 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;

23. 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;

  

22. 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;

21. 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;

 

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

 

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

 

18. Liu, Rongchang; Li, Jiangyuan; Yan, Duokui; New periodic orbits in the planar equal-mass three-body problem, Discrete and Continuous Dynamical Systems, 2018, (38): 2187--2206;

 

17. Han, Shaoqi; Huang, Anping; Ouyang, Tiancheng; Yan, Duokui; New periodic orbits in the planar equal-mass five-body problem, Communications in Nonlinear Science and Numerical Simulation, 2017, (48): 425--438;

 

16. Shi, Bixiao; Liu, Rongchang; Yan, Duokui; Ouyang, Tiancheng; Multiple periodic orbits connecting a collinear configuration and a double isosceles configuration in the planar equal-mass four-body problem, Advanced Nonlinear Studies, 2017, (17) : 819--835;

 

15. Ouyang, Tiancheng; Yan, Duokui; Variational properties and linear stabilities of spatial isosceles orbits in the equal-mass three-body problem, Discrete and Continuous Dynamical Systems, 2017, (27): 3989--4018；

 

14. Peng, Hao; Yan, Duokui; Xu, Shijie; Ouyang, Tiancheng; Linear stability of double-double orbits in the parallelogram four-body problem, Journal of Mathematical Analysis and Applications, 2016, (433): 785--802;

 

 

13. Chang, Xiaojun; Ouyang, Tiancheng; Yan, Duokui; Linear stability of the criss-cross orbit in the equal-mass three-body problem, Discrete and Continuous Dynamical Systems, 2016, (36): 5971--5991；

 

12. Yan, Duokui; Liu, Rongchang; Hu, Xingwei; Mao, Weize; Ouyang, Tiancheng; New phenomena in the spatial isosceles three-body problem with unequal masses, International Journal of Bifurcation and Chaos, 2015, (25): 1550169;

 

11. Yan, Duokui; Ouyang,Tiancheng; New phenomena in the spatial isosceles three-body problem, International Journal of Bifurcation and Chaos, 2015, (25): 1550116；

 

10. Ouyang, Tiancheng; Yan, Duokui; Simultaneous binary collisions in the equal-mass collinear four-body problem, Electronic Journal of Differential Equations, 2015, (80): 1--34；

 

9. Yan, Duokui; Liu, Rongchang; Chang, Geng-zhe; A type of multiple integral with log-gamma function, Involve, 2015, (8): 593--614;

 

8. Yan, Duokui; Ouyang, Tiancheng; Xie, Zhifu; Classification of periodic orbits in the planar equal-mass four-body problem, Discrete and Continuous Dynamical Systems –Special Issue, 2015: 1115--1124;

 

7. Yan, Duokui; Existence of the Broucke periodic orbit and its linear stability, Journal of Mathematical Analysis and Applications, 2012, (389): 656--664;

 

6. Yan, Duokui; A simple existence proof of Schubart periodic orbit with arbitrary masses, Frontiers of Mathematics in China, 2012, (7): 145--160;

 

5. Yan, Duokui; Existence and linear stability of the rhomboidal periodic orbit in the planar equal mass four-body problem，Journal of Mathematical Analysis and Applications, 2012, (388): 942--951;

 

4. Ouyang, Tiancheng; Simmons, Skyler C.; Yan, Duokui; Periodic solutions with singularities in two dimensions in the n-body problem, Rocky Mountain Journal of Mathematics, 2012, (42): 1601--1614;

 

3. Ouyang, Tiancheng; Yan, Duokui; Periodic solutions with alternating singularities in the collinear four-body problem, Celestial Mechanics and Dynamical Astronomy, 2011, (109): 229--239;

 

2. Bakker, Lennard F.; Ouyang, Tiancheng; Yan, Duokui; Simmons, Skyler; Existence and stability of symmetric periodic simultaneous binary collision orbits in the planar pairwise symmetric four-body problem, Celestial Mechanics and Dynamical Astronomy, 2011, (110): 271--290;

 

1. Bakker, Lennard F.; Ouyang, Tiancheng; Yan, Duokui; Simmons, Skyler; Roberts, Gareth E.; Linear stability for some symmetric periodic simultaneous binary collision orbits in the four-body problem, Celestial Mechanics and Dynamical Astronomy, 2010, (108): 147--164.