个人简历
廖杰，教授，博士生导师
研究方向：偏微分方程
讲授课程：数学分析、偏微分方程
办公地址：红瓦楼902室
办公电话：(021) 6590 2506
Email：liaojie@mail.shufe.edu.cn
主要学习及工作经历
2022/4 - 至今 上海财经大学数学学院
2010/9 –2022/3 华东理工大学理学院
2009/7 – 2010/9 香港科技大学数学系/Department of Mathematics, The Hong Kong University of Science and Technology, Hong Kong
2004/9 – 2009/6 博士，上海交通大学数学系
2000/9 – 2004/6 学士，武汉大学数学基地班
学术交流
2020/1 – 2020/2 Institute for Advanced Studies, Universite de Cergy-Pontoise, France
2014/9 – 2015/8 Laboratoire Jacques-Louis Lions, Université Pierre et Marie Curie (Paris 6), France
2007/10– 2008/9 Department of Mathematics, Stanford University, USA
科研项目
国家自然科学基金面上项目: 多智能体系统动理学-流体方程的数学理论，2020.01-2023.12.
学术论文
[1] Jie Liao, Huilin Meng, Yi’ang Ren and Wenbin Yan, On a kinetic modeling of crowd dynamics with several interacting groups. In: N. Bellomo and L. Gibelli (eds), Crowd Dynamics, Volume 4, Birkhäuser-Springer, New York, USA, (2023), in press.
[2] Jie Liao, Yi’ang Ren and Wenbin Yan, Kinetic modeling of a leader-follower system in crowd evacuation with collective learning, Mathematical Models and Methods in Applied Sciences, 33 (2023).
https://www.worldscientific.com/doi/10.1142/S0218202523500240
[3] Nicola Bellomo, Jie Liao, Annalisa Quaini, Lucia Russo and Costantinos Siettos, Human behavioral crowds: review, critical analysis, and research perspectives, Mathematical Models and Methods in Applied Sciences, 33 (2023), in press.
[4] Yeping Li and Jie Liao, Zero-electron-mass limit of the compressible Navier-Stokes-Poisson equations with well/ill-prepared initial data, Proceedings of the Royal Society of Edinburgh, Section A: Mathematics, (2022), 1-28. doi:10.1017/prm.2022.50.
[5] Jie Liao and Liwen Zhou, A kinetic modeling of crowd evacuation with several groups in complex venues, Mathematical Models and Methods in Applied Sciences, 32 (2022), 1785-1805.
[6] Jie Liao and Hui Liu, Sensitivity analysis of the non-linear Fokker–Planck equations with uncertainty, Nonlinear Analysis: RWA, 64 (2022), 103450.
[7] Jie Liao and Xiongfeng Yang, Stability of global Maxwellian for fully nonlinear Fokker–Planck equations, Journal of Statistical Physics, 185 (2021): 23.
[8] Lijuan Yu, and Jie Liao, Non-Maxwellian kinetic modeling of city size distribution, Journal of Applied Mathematics and Physics, 9 (2021), 1329-1339.
[9] Jing Hu, Yeping Li and Jie Liao, The stationary solution of a one-dimensional bipolar quantum hydrodynamic model, Journal of Mathematical Analysis and Applications, 493 (2021), 124537.
[10] Lin Dong and Jie Liao, Wavelet kernel function based multiscale LSSVM for elliptic boundary value problems, Neurocomputing, 356 (2019), 40-51.
[11] Yeping Li and Jie Liao, Stability and Lp convergence rates of planar diffusion waves for three- dimensional bipolar Euler-Poisson systems, Communications on Pure & Applied Analysis, 18 (2019), 1281-1302.
[12] Jie Liao, Qianrong Wang and Xiongfeng Yang, Stability of global Maxwellian for non-linear Vlasov- Poisson-Fokker-Planck equations, Acta Mathematica Scientia, 39 (2019), 127-138.
[13] Yeping Li and Jie Liao, Existence of strong solutions to the stationary compressible Navier– Stokes–Korteweg equations with large external force, Nonlinear analysis RWA, 47 (2019), 204-223.
[14] Yeping Li, Gang Zhou and Jie Liao, Zero-electron-mass limit of the two-dimensional compressible Navier-Stokes-Poisson equations in bounded domain, Mathematical Methods in the Applied Sciences, 41 (2018), 9485-9501.
[15] Jie Liao, Qianrong Wang and Xiongfeng Yang, Global existence and decay rates of the solutions near Maxwellian for non-linear Fokker-Planck equations, Journal of Statistical Physics, 173 (2018), 222-241.
[16] Yeping Li and Jie Liao, Existence and zero-electron-mass limit of strong solutions to the stationary compressible Navier–Stokes–Poisson equation with large external force, Mathematical Methods in the Applied Sciences, 41 (2018), 646-663.
[17] Casimir Emako, Jie Liao and Nicolas Vauchelet, Synchronising and non-synchronising dynamics for a two-species aggregation model, Discrete and Continuous Dynamical Systems (B), 22 (2017), 2121-2146.
[18] Radjesvarane Alexandre, Jie Liao and Chunjin Lin, Convergence to the equilibrium state for Bose-Einstein 1-D Kac grazing limit model, Communications in Mathematical Sciences, 14 (2016), 187-207.
[19] Jie Liao, Global solution for a kinetic chemotaxis model with internal dynamics and its fast adaptation limit, Journal of Differential Equations, 259 (2015), 6432-6458.
[20] Radjesvarane Alexandre, Jie Liao and Chunjin Lin, Some a priori estimates for the homogeneous Landau equation with soft potentials, Kinetic and Related Models, 8 (2015), 617-650.
[21] Jie Liao, Chao Ji, Extended Foldy-Lax approximation on multiple scattering, Mathematical Modelling and Analysis, 19 (2014), 85-98.
[22] Jie Liao, Analysis of the Foldy-Lax approximation on multiple scattering by many small scatterers, Applicable Analysis,92 (2013), 2547-2560.
[23] Radjesvarane Alexandre and Jie Liao, A pseudo-kinetic approach for Helmholtz equation, Chinese Annals of Mathematics Series B, 34B (2013), 319-332.
[24] Jie Liao and Xiao-Ping Wang, Stability of efficient Navier-Stokes solvers with Navier boundary conditions, Discrete and Continuous Dynamical Systems (B), 17 (2012), 153-171.
[25] Jie Liao, Boundary layer analysis for the eigenvalues of hanging rod, Journal of Mathematical Analysis and Applications, 389 (2012), 608-617.
[26] Jie Liao, Weike Wang and Tong Yang, Lp Convergence rates of diffusion waves for multi-dimensional Euler equations with damping, Journal of Differential Equations, 247 (1) (2009), 303-329.
[27] Jie Liao and Xiongfeng Yang, Global existence of classical solutions to the Vlasov- Poisson-Boltzmann system with given magnetic field, Nonlinear Analysis, 67 (12) (2007), 3335-3349.