Lei,Yuanjie

Time:2020-07-26 

NameYuanjie Lei

Research Area:Mathematical theory on nonlinear partial differentialequations arising from fluid mechanics

Academic Degrees

PhD, 2015, School of Mathematics and Statistics, Wuhan University, Wuhan, China;

Master,2011,School of Mathematics and Statistics, Wuhan University, Wuhan, China;

Bachelor, 2009, Department of Mathematics, Northwest University, Xi’an, China.

Professional Experience

Lecturer (2015-present); School of Mathematics and Statistics, Huazhong University of Science and Technology;

Selected Publications

1. Yingzhe Fan, Yuanjie  Lei,  Shuangqian  Liu  and  Huijiang  Zhao,  The  Vlasov-Maxwell-Boltzmann system with weak singular cross-sections in the whole space. Accepted by SCIENCE CHINA Mathematics.

2. Renjun Duan, Yuanjie Lei, Tong Yang and Huijiang Zhao, The Vlasov-Maxwell-Boltzmann system near Maxwellians in the whole space for cutoff soft potentials. Commun. Math. Phys. (2017), no.1, 95–153.

3. Cong He and Yuanjie Lei, One-species Vlasov-Poisson-Landau system for soft potentials in . J. Math. Phys. 57 (2016), no. 12, 121502, 25 pp.

4. Yuanjie Lei and Huijiang Zhao, The Vlasov-Maxwell-Boltzmann system with a uniform ionic background near Maxwellians. Journal of Differential Equations 260 (2015), no. 3, 2830-2897.

5. Yingzhe Fan and Yuanjie Lei, Global Solutions and Time Decay of the Non-cutoff Vlasov–Maxwell–Boltzmann System in the Whole Space. Journal of Statistical Physic 161 (2015), no.5, 1059-1097.


6. Yuanjie Lei, Ling Wan and Huijiang Zhao, The Vlasov-Poisson-Landau system with a uniform ionic background and algebraic decay initial perturbation.


Bulletin of the Institute of Mathematics Academia Sinica (New Series) 10


(2015), no. 3, 311-347.


7. Yuanjie Lei and Ling Wan, The Boltzmann equation with frictional force for soft potentials in the whole space. Journal of Differential Equations 258 (2015), no. 10, 3491–3534.


8. Yuanjie Lei and Huijiang Zhao, Negative Sobolev spaces and the two-species

Vlasov-Maxwell-Landau system in the whole space. Journal of Functional Analysis 267 (2014), no. 10, 3710–3757.

9. Yuanjie  Lei,  Linjie  Xiong,  and  Huijiang  Zhao,  One-species  Vlasov-Poisson-Landau system near Maxwellians in the whole space. Kinetic and Related Models 7 (2014), no. 3, 551–590.

Awards:

2017 Excellent Doctoral Dissertation of Hubei Province

Courses Taught

Equation Of Mathematical Physics

Project

National Natural Science Foundation of China11601169, 2017/012019/12



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