廖杰

廖杰,教授、硕士生导师,

研究方向:偏微分方程

讲授课程:数学分析、偏微分方程

Emailliaojie@mail.shufe.edu.cn

一、主要学习及工作经历

 2022/4 -  至今   教授,上海财经大学数学学院

2010/9 – 2022/3  讲师/副教授,华东理工大学理学院

2009/7 – 2010/9  访问学者,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

三、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.


四、学术论文

[1]  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, in press, 2022.

[2]  Jie Liao and Liwen Zhou, A kinetic modeling of crowd evacuation with several groups in complex venues, Mathematical Models and Methods in Applied Sciences, in press, 2022.

[3]  Jie Liao and Hui Liu, Sensitivity analysis of the non-linear Fokker–Planck equations with uncertainty, Nonlinear Analysis: RWA, 64 (2022), 103450.

[4] Jie Liao and Xiongfeng Yang, Stability of global Maxwellian for fully nonlinear Fokker–Planck equations, Journal of Statistical Physics, 185(2021): 23.

[5]  Jing Hu, Yeping Li and Jie Liao, The stationary solution of a one-dimensional bipolar quantum hydrodynamic model, J. Math. Anal. Appl., 493(2021), 124537.

[6]  Lin Dong and Jie Liao, Wavelet kernel function based multiscale LSSVM for elliptic boundary value problems, Neurocomputing, 356(2019), 40-51.

[7]  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(3)(2019), 1281-1302.

[8]  Jie Liao, Qianrong Wang and Xiongfeng Yang, Stability of global Maxwellian for non-linear Vlasov- Poisson-Fokker-Planck equations, Acta Mathematica Scientia, 39(1)(2019), 127-138.

[9]  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.

[10]  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.

[11]  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.

[12]  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.

[13]  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(6)(2017), 2121-2146.

[14]  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(1)(2016), 187-207.

[15]  Jie Liao, Global solution for a kinetic chemotaxis model with internal dynamics and its fast adaptation limit. J. Differential Equations, 259(11)(2015), 6432-6458.

[16]  Radjesvarane Alexandre, Jie Liao and Chunjin Lin, Some a priori estimates for the homogeneous Landau equation with soft potentials, Kinetic and Related Models, 8(4)(2015), 617-650.

[17]  Jie Liao, Chao Ji, Extended Foldy-Lax approximation on multiple scattering, Mathematical Modelling and Analysis, 19(1)(2014), 85-98.

[18]  Jie Liao, Analysis of the Foldy-Lax approximation on multiple scattering by many small scatterers, Applicable Analysis, 92(12)(2013), 2547-2560.

[19]  Radjesvarane Alexandre and Jie Liao, A pseudo-kinetic approach for Helmholtz equation, Chinese Annals of Mathematics Series B,34B(3)(2013), 319-332.

[20]  Jie Liao and Xiao-Ping Wang, Stability of efficient Navier-Stokes solvers with Navier boundary con- ditions, Discrete and Continuous Dynamical Systems (B),17(2012), 153-171.

[21]  Jie Liao, Boundary layer analysis for the eigenvalues of hanging rod, J. Math. Anal. Appl.,389(2012), 608-617.

[22]  Jie Liao, Weike Wang and Tong Yang, Lp Convergence rates of diffusion waves for multi-dimensional Euler equations with damping, J. Differential Equations,247 (1) (2009), 303-329.

[23]  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.