副教授
季善明，男，华南理工大学数学学院副教授、硕士生导师、TCL青年学者。主要研究方向为非线性偏微分方程。
2019/09-至今, 华南理工大学数学学院, 副教授
2019/07-2020/07, 麦吉尔（McGill）大学, 访问学者
2018/09-2019/09, 华南理工大学数学学院, 博士后副研究员
2016/07-2018/09, 华南理工大学数学学院, II类博士后
主持科研项目：
国家自然科学基金面上项目：退化型抛物方程解的传播性质研究，2023/01-2026/12
国家自然科学基金青年基金项目：退化扩散趋化模型的相关问题研究”，2018/01-2020/12
广东省自然科学基金面上项目：退化时滞非线性扩散方程的定性理论，2021/01—2023/12
广州市科技计划项目“续航”：具对流的退化扩散方程解的传播性质，2024/01—2025/12
广州市科技计划项目：退化扩散方程解的传播性质，2021/04—2023/03
中国博士后科学基金第61批面上项目(一等)：具非线性扩散的趋化模型相关问题的研究
主要发表论文：
[1] Shanming Ji, Zongguang Li, Changjiang Zhu, Removable singularities and unbounded asymptotic profiles of multi-dimensional Burgers equations, Math. Ann., (2024) doi:10.1007/s00208-024-02917-6
[2] Tianyuan Xu, Shanming Ji*, Ming Mei, Jingxue Yin, Convergence to sharp traveling waves of solutions for Burgers-Fisher-KPP equations with degenerate diffusion, J. Nonlinear Sci., (2024) 34:44, doi:10.1007/s00332-024-10021-x
[3] Shanming Ji, Ming Mei, Optimal decay rates of the compressible Euler equations with time-dependent damping in R^n: (II) ovder-damping case, SIAM J. Math. Anal., 55 (2023), 1048--1099.
[4] Shanming Ji, Ming Mei, Optimal decay rates of the compressible Euler equations with time-dependent damping in R^n: (I) under-damping case, J. Nonlinear Sci., (2023) 33:7.
[5] Shanming Ji, Minyi Zhang, Changjiang Zhu, Asymptotic stability of solutions to a hyperbolic-elliptic coupled system of radiating gas on the half line, SIAM J. Math. Anal., 54 (2022), 3884-3929.
[6] Tianyuan Xu, Shanming Ji*, Ming Mei, Jingxue Yin, Critical sharp front for doubly nonlinear degenerate diffusion equations with time delay, Nonlinearity, 35 (2022), 3358-3384.
[7] Tianyuan Xu, Shanming Ji*, Ming Mei, Jingxue Yin, Propagation speed of degenerate diffusion equations with time delay, J. Dynam. Differential Equations, 2022, doi:10.1007/s10884-022-10182-x
[8] Shanming Ji, Zhi-An Wang, Tianyuan Xu, Jingxue Yin, A reducing mechanism on wave speed for chemotaxis systems with degenerate diffusion, Calc. Var. Partial Differential Equations, 60 (2021), 1-19.
[9] Tianyuan Xu, Shanming Ji*, Ming Mei, Jingxue Yin, Variational approach of critical sharp front speeds in degenerate diffusion model with time delay, Nonlinearity, 33 (2020), 4013-4029.
[10] Tianyuan Xu, Shanming Ji*, Ming Mei, Jingxue Yin, Sharp oscillatory traveling waves of structured population dynamics model with degenerate diffusion, J. Differential Equations, 269 (2020), 8882-8917.
[11] Senming Chen, Shanming Ji, Huanyao Wen, Changjiang Zhu, Existence of weak solutions to steady Navier-Stokes/Allen-Cahn system, J. Differential Equations, 269 (2020), 8331-8349.
[12] Tianyuan Xu, Shanming Ji*, Ming Mei, Jingxue Yin, On a chemotaxis model with degenerate diffusion: initial shrinking, eventual smoothness and expanding, J. Differential Equations, 268 (2020), 414-446.
[13] Tianyuan Xu, Shanming Ji*, Ming Mei, Jingxue Yin, Traveling waves for time-delayed reaction diffusion equations with degenerate diffusion, J. Differential Equations, 265 (2018), 4442-4485.
[14] Shanming Ji, Jingxue Yin, Yang Cao, Instability of positive periodic solutions for semilinear pseudo-parabolic equations with logarithmic nonlinearity, J. Differential Equations, 261 (2016), 5446-5464.
jism@scut.edu.cn
华南理工大学数学学院