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 太平洋在线会员登录，助理教授

2020.07-2023.02 复旦大学太平洋在线会员登录, 博士后

1. Kai Zhao, Wei Cheng, On the vanishing contact structure for viscosity solutions of contact type Hamilton-Jacobi equations I:Cauchy problem, Discrete & Continuous Dynamical Systems(2019) 39, 4345-4358.

2. Qinbo Chen, Wei Cheng, Hitoshi Ishii,Kai Zhao, Vanishing contact structure problem and convergence of the viscosity solutions,Communications in Partial Differential Equations(2019) 44, 801-836.

3. Jiahui Hong, Wei Cheng, Shenqing Hu,Kai Zhao, Representation formulas for contact type Hamilton-Jacobi equations,Journal of Dynamics and Differential Equations(2021) 34 ,2315-2327.

4. Kaizhi Wang, Jun Yan,Kai Zhao, Finite-time convergence of solutions of Hamilton-Jacobi equations,Proceedings of the American Mathematical Society(2022) 150, 1187-1196.

5. Cui Chen, Jiahui Hong,Kai Zhao, Global propagation of singularities for discounted Hamilton-Jacobi equations,Discrete & Continuous Dynamical Systems(2022) 42, 1949-1970.

6. Xiang Shu, Jun Yan,Kai Zhao, Viscosity subsolutions of Hamilton-Jacobi equations and Invariant sets of contact Hamilton systems,Journal of Mathematical Physics(2022) 63, 102702.

7. Kaizhi Wang, Jun Yan,Kai Zhao, Time periodic solutions of Hamilton-Jacobi equations with autonomous Hamiltonian on the circle,Journal de Mathématiques Pures et Appliquées(2023) 171, 122-141.

8. Liang Jin, Jun Yan,Kai Zhao, Nonlinear Semigroup Approach to the Hamilton-Jacobi Equation -- a Toy Model,Minimax Theory and its Applications(2023) 8, 61-84.

9. Liang Jin, Jianlu Zhang,Kai Zhao, Smooth subsolutions of the discounted Hamilton-Jacobi equations, accepted byDifferential and Integral Equations.