赵恺 - 同济大学 - 数学科学学院

个人简介

教育背景 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，获学士学位工作经历 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

研究领域

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

近期论文

查看导师新发文章（温馨提示：请注意重名现象，建议点开原文通过作者单位确认）

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. 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. 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. 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. Cui Chen, Jiahui Hong,Kai Zhao, Global propagation of singularities for discounted Hamilton-Jacobi equations,Discrete & Continuous Dynamical Systems(2022) 42, 1949-1970. 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. 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. 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. Liang Jin, Jianlu Zhang,Kai Zhao, Smooth subsolutions of the discounted Hamilton-Jacobi equations, accepted byDifferential and Integral Equations.