Likuijie

September,  2012- January, 2018  Peking University     Pure Mathematics    Ph.D.    Supervisor: Prof. Baoxiang Wang 

September,  2015- February, 2017   Université Côte d’Azur     Visit      Supervisor: Prof.  Fabrice Planchon 

September,  2008- June, 2012   Huazhong University of Science and Technology   Mathematics and Applied Mathematics    Bachelor

June, 2021 - Present             Nankai University     Lecturer 

March, 2019 - May,   2021    Fudan University     Postdoctoral Researcher     Supervisor: Prof. Zhen Lei  

March, 2018 - March, 2019     Monash University,  Postdoctoral Researcher   Supervisor: Prof. Zihua Guo

My name is Kuijie Li, now i am a lecturer of department  of Mathematics at Nankai University.  

I got my bachelor's degree from Huazhong University of Science and Technology in 2012,  and 

Doctor's degree from Peking University in 2018.  My research interest is partial differential equations,

particularly the incompressible Navier-Stokes equations and nonlinear wave equations. 

Partial Differential Equations,  particularly  Navier-Stokes equations and nonlinear wave equations

Undergraduate Courses:  Exercise Class for Mathematical Analysis I,  Exercise Class for Mathematical Analysis II,  Mathematical Physics Equations

Graduate Course: Partial Differential Equations

Navier-Stokes equations and Euler equations：

1. Hans. G. Feichtinger, Karlheinz Grochenig, Kuijie Li and Baoxiang Wang, Navier-Stokes equation in super-critical spaces , Ann. Inst. H. Poincaré C Anal. Non Linéaire, vol 38 (2021), 139-173. 

2. Zihua Guo and Kuijie Li, Remarks on the well-posedness of the Euler equations in the Triebel-Lizorkin spaces, J. Fourier Anal. Appl. 27 (2021), no. 2, Paper No. 29, 24 pp.

3. Kuijie Li and Baoxiang Wang, Blowup criterion for Navier–Stokes equation in critical Besov space with spatial dimensions d≥4,  Ann. Inst. H. Poincaré C Anal. Non Linéaire，vol 36 (2019), 1679-1707.

4. Kuijie Li, Tohru Ozawa and Baoxiang Wang, Dynamical Behavior for the Solutions of the Navier-Stokes Equation, Commun. Pure Appl. Anal. 17 (2018), no. 4, 1511–1560.

Nonlinear wave equations and Schrodinger equations：

5. Dong Shijie, Li Kuijie, Ma Yue, Yuan Xu, Global behavior of small data solutions for the 2D Dirac-Klein-Gordon system. Trans. Amer. Math. Soc. 377(2024), no.1, 649–695.

6. Dong shijie, Li Kuijie and Yuan Xu, Global solution to the 3D Dirac-Klein-Gordon system with uniform energy bounds, Calc. Var. Partial Differential Equations 62(2023), no.5, Paper No. 146, 42 pp. 

7. Shijie Dong and Kuijie Li, Global solution to the cubic Dirac equation in two space dimensions,  J. Differential Equations 331 (2022) 192–222.

8. The Defocusing Energy-Supercritical Nonlinear Schrödinger Equation in High Dimensions, SIAM J. Math. Anal. 54 (2022), no. 3, 3253–3274.