季善明 - 华南理工大学

个人简介

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青年基金项目(11701184)：退化扩散趋化模型的相关问题研究, 2018/01-2020/12 中国博士后科学基金第61批面上项目(一等) (2017M610517)：具非线性扩散的趋化模型相关问题的研究

研究领域

非线性偏微分方程、退化扩散方程

近期论文

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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. 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. Tianyuan Xu, Jingxue Yin, Shanming Ji*, Discontinuous traveling wave entropy solutions for a sedimentition-consolidation model, Nonlinear Analysis, 159 (2017), 468-481. 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. 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. 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. 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. Shanming Ji, Rui Huang*, On the Budyko-Sellers Climate Model with Mushy Region, J. Math. Anal. Appl., 434 (2016), 581-598. 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. 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.