从事Hamilton动力系统的研究，Hamilton-Jacobi方程，weak KAM理论，Aubry-Mather理论

2015.09-2020.06 南京大学数学系，获博士学位

2011.09-2015.06 南京大学数学系，获学士学位

2023.02-至今 同济大学数学科学学院，助理教授

2020.07-2023.02 复旦大学数学科学学院, 博士后

1. Jin, Liang; Yan, Jun; Zhao, Kai. Variational construction of asymptotic orbits in contact Hamiltonian systems.Journal of Differential Equations462 (2026), 114141, 37 pp.

2. Wang, Ziyao; Xu, Yang; Zhao, Kai. Existence of C^1,1subsolutions of contact Hamilton-Jacobi equations.Communications on Pure and Applied Analysis27 (2026), 195–209.

3. Huang, Xiyao; Jin, Liang; Zhang, Jianlu; Zhao, Kai. Smooth subsolutions of the discounted Hamilton-Jacobi equations.Differential and Integral Equations38 (2025), 275–296.

4. Wang, Kaizhi; Yan, Jun; Zhao, Kai. Time periodic and almost periodic viscosity solutions of contact Hamilton-Jacobi equations on Tⁿ.Journal of Functional Analysis289 (2025),10, 111121, 32 pp.

5. Xu, Yang; Yan, Jun; Zhao, Kai. Dynamics of globally minimizing orbits in contact Hamiltonian systems.Proceedings of the American Mathematical Society153 (2025), 6, 2527–2538.

6. Xu, Yang; Yan, Jun; Zhao, Kai. Stability of solutions to contact Hamilton-Jacobi equation on the circle.Acta Mathematica Sinica (English Series)41 (2025), 11, 2755–2772.

7. Xu, Yang; Yan, Jun; Zhao, Kai. Stability and weak KAM solutions of contact Hamilton-Jacobi equation.Proceedings of the American Mathematical Society152 (2024), 2, 725–738.

8. Wang, Kaizhi; Yan, Jun; Zhao, Kai. Time periodic solutions of Hamilton-Jacobi equations with autonomous Hamiltonian on the circle.Journal de Mathématiques Pures et Appliquées171 (2023), 122–141.

9. Jin, Liang; Yan, Jun; Zhao, Kai. Nonlinear semigroup approach to the Hamilton-Jacobi equation — a toy model.Minimax Theory and its Applications8 (2023), 61–84.

10. Wang, Kaizhi; Yan, Jun; Zhao, Kai. Finite-time convergence of solutions of Hamilton-Jacobi equations.Proceedings of the American Mathematical Society150 (2022), 1187–1196.

11. Chen, Cui; Hong, Jiahui; Zhao, Kai. Global propagation of singularities for discounted Hamilton-Jacobi equations.Discrete & Continuous Dynamical Systems42 (2022), 1949–1970.

12. Shu, Xiang; Yan, Jun; Zhao, Kai. Viscosity subsolutions of Hamilton-Jacobi equations and invariant sets of contact Hamilton systems.Journal of Mathematical Physics63 (2022), 102702.

13. Hong, Jiahui; Cheng, Wei; Hu, Shenqing; Zhao, Kai. Representation formulas for contact type Hamilton-Jacobi equations.Journal of Dynamics and Differential Equations34 (2022), 2315–2327.

14. Chen, Qinbo; Cheng, Wei; Ishii, Hitoshi; Zhao, Kai. Vanishing contact structure problem and convergence of the viscosity solutions.Communications in Partial Differential Equations44 (2019), 801–836.

15. Zhao, Kai; Cheng, Wei. On the vanishing contact structure for viscosity solutions of contact type Hamilton-Jacobi equations I: Cauchy problem.Discrete & Continuous Dynamical Systems39 (2019), 4345–4358.