华中科技大学数学与统计学院 副教授
联系方式
邮箱：lei_zhang@hust.edu.cn
个人主页：http://faculty.hust.edu.cn/ZHANGLEI
教育背景
博士后：2016/7-2018/6 华中科技大学 数学与统计学院 合作导师：刘斌；
博士：2012/9-2016/6 华中科技大学 数学与统计学院 应用数学专业 导师：刘斌；
硕士：2011/9-2012/6 华中科技大学 数学与统计学院 应用数学专业 导师：刘斌；
学士：2007/9-2011/6 湖北工程学院 数学与统计学院 数学与应用数学专业。
研究方向
时滞随机微分系统最优控制相关问题的研究
广义Camassa-Holm系统的定性理论分析
科研项目
国家自然科学青年基金项目（11701198），带Poisson跳跃的随机泛函微分方程最优控制问题研究，2018/01-2020/12, 20万元
代表性成果
[1] Lei Zhang, Bin Liu, Probabilistic interpretation of weak solutions to multi-dimensional quasilinear SPIDEs with refection. Submitted to Journal of Differential Equations.
[2] Lei Zhang, Bin Liu, Backward doubly stochastic dynamics and Sobolev weak solutions for quasi-linear SPDEs with nonlocal operators. Submitted to Proceedings of the London Mathematical Society.
[3] Lei Zhang, Bin Liu, Well-posedness and blow-up phenomena for an integrable three-component Camassa-Holm system. Submitted to Journal of Functional Analysis.
[4]Lei Zhang, Bin Liu, Mild super-solution to obstacle problem of IPDEs and applications to stochastic optimal control/stopping problem. Submitted to Stochastic Processes and their Applications.
[5]Lei Zhang, Xiuting Li, The local well-posedness, blow-up criteria and Gevrey regularity of solutions for a two-component high-order Camassa–Holm system. Nonlinear Analysis: Real World Applications, 2017, 35:414-440.
[6] Lei Zhang, Bin Liu, Optimal distributed controls of a class of nonlinear dispersive equations with cubic nonlinearity. Nonlinear Analysis: Theory, Methods & Applications, 122 (2015) 23-42.
[7]Lei Zhang, Bin Liu, Optimal control problem for an ecosystem with two competing preysand one predator. Journal of Mathematical Analysis and Applications, 424 (2015) 201-220.
[8] Lei Zhang, Bin Liu, On the Cauchy problem for a class of shallow water wave equations with (k+1)-order nonlinearities. Journal of Mathematical Analysis and Applications, 445:1 (2016) 151-185.
