季善明

季善明

季善明,男,漢族,中國國籍,博士,華南理工大學數學學院副教授。

基本介紹

  • 中文名:季善明
  • 國籍中國
  • 民族:漢族
  • 學位/學歷:博士
  • 職業:教師
  • 專業方向:非線性偏微分方程
  • 任職院校:華南理工大學
人物經歷,研究方向,學術成果,科研項目,主要論文,

人物經歷

2019/09-至今, 華南理工大學數學學院, 副教授
2019/07-2020/07, 麥吉爾(McGill)大學, 訪問學者
2018/09-2019/09, 華南理工大學數學學院, 博士後副研究員
2016/07-2018/09, 華南理工大學數學學院, II類博士後

研究方向

非線性偏微分方程、退化擴散方程

學術成果

科研項目

[1]國家自然科學基金青年基金項目 :退化擴散趨化模型的相關問題研究,2018.1-2020.12,在研。
[2]中國博士後科學基金第61批面上項目(一等) :具非線性擴散的趨化模型相關問題的研究,2017.6-2018.10,在研。

主要論文

1. 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.
2. 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.
3. 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.
4. 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.
5. Shanming Ji, Ming Mei, Zejia Wang*, Dirichlet problem for the Nicholson's blowflies equation with density-dependent diffusion, Applied Mathematics Letters, 103 (2020), 106191.
6. 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.
7. 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.
8. 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.
9. Shanming Ji, Jingxue Yin*, Yutian Li, Positive periodic solutions of the weighted p-Laplacian with nonlinear sources, Disc. Cont. Dyna. Syst., 38 (2018), 2411-2439.
10. Tianyuan Xu, Jingxue Yin, Shanming Ji*, Discontinuous traveling wave entropy solutions for a sedimentition-consolidation model, Nonlinear Analysis, 159 (2017), 468-481.
11. Shanming Ji, Yutian Li, Rui Huang*, Jingxue Yin, Singular periodic solutions for the p-Laplacian in a punctured domain, Comm. Pure Applied Analysis, 16 (2017), 373-392.
12. Tianyuan Xu, Shanming Ji*, Ming Mei, Jingxue Yin, Global existence of solutions to a chemotaxis-haptotaxis model with density-dependent jump probability and quorum-sensing mechanisms, Math. Meth. Appl. Sci., 41 (2018), 4208-4226.
13. Shanming Ji, Jingxue Yin, Yuanyuan Ke*, Radially symmetric solutions of the p-Laplacian with critical Sobolev-Hardy exponent in perforated-like domain, Math. Meth. Appl. Sci., 34 (2011), 1110-1124.
14. Shanming Ji, Jingxue Yin, Rui Huang*, Oscillatory traveling waves of poly-tropic filtration equation with generalized Fisher-KPP sources, J. Math. Anal. Appl., 419 (2014), 68-78.
15. Shanming Ji, Rui Huang*, On the Budyko-Sellers Climate Model with Mushy Region, J. Math. Anal. Appl., 434 (2016), 581-598.
16. Tianyuan Xu, Chunhua Jin, Shanming Ji*, Discontinuous traveling wave entropy solutions of a modified Allen-Cahn model, Acta Mathematica Scientia (Series B), 37B (2017), 1740-1760.
17. Shanming Ji, Jingxue Yin, Rui Huang*, Minimization of energy integrals associated with the p-Laplacian in R^N for rearrangements, Electronic Journal of Differential Equations, 137 (2014), 1-14.

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