更新日期：2025年9月5日
个人简介
季善明，华南理工大学教授，硕士生导师。主要研究退化型非线性扩散方程以及具奇异性的流体力学方程，在退化扩散方程的行波解、解的传播性质、奇异流体力学方程等方面取得了一系列的研究成果。以第一作者或通讯作者在本领域有影响力的杂志 Mathematische Annalen、SIAM Journal on Mathematical Analysis、Journal of Nonlinear Science、Calculus of Variations and Partial Differential Equations、Nonlinearity、Journal of Differential Equations 等杂志上共发表 SCI 论文近30篇。
工作经历
2024/09-至今, 华南理工大学数学学院, 教授
2019/09-2024/09, 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
研究领域
非线性偏微分方程、退化扩散方程
科研项目
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”
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
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
发表论文
主要发表论文
Shanming Ji, Zongguang Li, Changjiang Zhu, Removable singularities and unbounded asymptotic profiles of multi-dimensional Burgers equations, Math. Ann., 391 (2025), 113-162.
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.
Shanming Ji, Ming Mei, Optimal decay rates of the compressible Euler equations with time-dependent damping in Rn: (II) ovder-damping case, SIAM J. Math. Anal., 55 (2023), 1048–1099.
Shanming Ji, Ming Mei, Optimal decay rates of the compressible Euler equations with time-dependent damping in Rn: (I) under-damping case, J. Nonlinear Sci., (2023) 33:7.
S.M. Ji, M.Y. Zhang, C.J. 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.
T.Y. Xu, S.M. Ji, M. Mei, J.X. Yin, Critical sharp front for doubly nonlinear degenerate diusion equations with time delay, Nonlinearity, 35 (2022), 3358-3384.
T.Y. Xu, S.M. Ji, M. Mei, J.X. Yin, Propagation speed of degenerate diusion equations with time delay, J. Dynam. Differential Equations, 36 (2024), 1179-1200.
S.M. Ji, Z.A.Wang, T.Y. Xu, J.X. Yin, A reducing mechanism on wave speed for chemotaxis systems with degenerate diusion, Calc. Var. Partial Differential Equations, 60 (2021), 1-19.
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.
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.
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.
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.
Shanming Ji, Ming Mei, Zejia Wang*, Dirichlet problem for the Nicholson's blowflies equation with density-dependent diffusion, Applied Mathematics Letters, 103 (2020), 106191.
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.
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.
Tianyuan Xu, Shanming Ji*, Chunhua Jin, Ming Mei, Jingxue Yin, Early and late stage profiles for a chemotaxis model with density-dependent jump probability, Math. Biosci. Eng., 15 (2018), 1345-1385.