Shanming Ji
time： 2025-11-17

Shanming Ji

Position: Professor

Email: jism@scut.edu.cn

Research Interests

  • Nonlinear diffusion equations, degenerate or singular parabolic equations (sharp waves, propagation properties)

  • Singular solutions and asymptotic stability of nonlinear waves in Fluid dynamics

Education and Work Experience

Education Experience:

  • 2013/09-2016/07: South China Normal University, Ph.D. in Mathematics

  • 2010/09-2013/07: Jilin University, M.S. in Mathematics

  • 2006/09-2010/07: Jilin University, B.S. in Mathematics

Work Experience:

  • 2024/09-Present: South China University of Technology, School of Mathematics, Professor

  • 2019/09-2024/09: South China University of Technology, School of Mathematics, Associate Professor

  • 2019/07-2020/07: McGill University, Department of Mathematics and Statistics, Visiting scholar

  • 2018/09-2019/09: South China University of Technology, School of Mathematics, Associate Research Fellow

  • 2016/09-2018/09: South China University of Technology, School of Mathematics, Postdoctoral Fellow

Research Achievement

[1] Shanming Ji, Zongguang Li, Changjiang Zhu, Removable singularities and unbounded asymptotic profiles of multi-dimensional Burgers equations, Math. Ann., 391 (2025), 113-162.

[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

[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.

Others（Awards、Research Grants、etc）

  • National Natural Science Foundation of China: Propagation Properties of Solutions to Degenerate Parabolic Equations, 2023/01-2026/12

  • National Natural Science Foundation of China for Young Scientists: Related Problems of Degeneration-Diffusion Chemotaxis Models, 2018/01-2020/12

  • Natural Science Foundation of Guangdong Province: Qualitative Theory of Nonlinear Diffusion Equations with Time Delay, 2021/01-2023/12

  • Guangzhou Basic and Applied Basic Research Foundation: Propagation Properties of Solutions to Degeneration-diffusion Equations with Convection, 2024/01-2025/12

  • Guangzhou Basic and Applied Basic Research Foundation: Propagation Properties of Solutions to Degeneration-Diffusion Equations, 2021/04-2023/03