Name: Shanming Ji
Introduction: Shanming Ji currently works as associate professor at School of Mathematics, South China University of Technology, China. He is interested in theoretical and numerical analysis of nonlinear partial differential equations, especially the equations with degenerate diffusion or other singularities. Topics of his research include propagation properties of degenerate diffusion equations, nonlinear waves like sharp type traveling waves, discontinuous entropy solutions, rarefaction waves, and so on.
Address: School of Mathematics, South China University of Technology, Guangzhou, 510640, P.R. China
Email:jism@scut.edu.cn
Research Interests :
Degenerate diffusion equations; Fluid dynamics; Stability of nonlinear waves; Propagation properties of solutions.
Education :
Sept.2013--July 2016: Ph.D. in Mathematics, South China Normal University, Guangzhou, P.R. China
Sept.2010--July 2013: M.S. in Mathematics, Jilin University, Changchun, P.R. China
Sept.2006--July 2010: B.S. in Mathematics, Jilin University, Changchun, P.R. China
Experiences :
Sept.2019--Present: Associate professor of Mathematics, School of Mathematics, South China University of Technology, P.R. China
July 2019--July 2020: Visiting scholar, Department of Mathematics and Statistics, McGill University, Canada
Sept.2018--Sept.2019: Associate Research Fellow, School of Mathematics, South China University of Technology, P.R. China
July 2016--Sept.2018: Postdoctoral research fellow, School of Mathematics, South China University of Technology, P.R. China
Research Grants:
2018.01--2020.12: National Natural Science Foundation of China, #11701184
2017.01--2018.07: China Postdoctoral Science Foundation No. 2017M610517
2021.01--2023.12: Guangdong Basic and Applied Basic Research Foundation
2021.04--2023.03: Guangzhou Basic and Applied Basic Research Foundation
Selected Publications
[1]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.
[2]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.
[3]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.
[4]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.
[5]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.
[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.