Prof. Renjun DUAN

Associate Professor
BSc, MS (Central China Normal University)
PhD (City University of Hong Kong)

Prof. Renjun DUAN
Address:
Room 206, Lady Shaw Building,
The Chinese University of Hong Kong,
Shatin, N.T., Hong Kong
Tel:
(852) 3943 7977
Email:
rjduan@math.cuhk.edu.hk
Personal Website:
http://www.math.cuhk.edu.hk/~rjduan/
Fields of Interest:
PDEs related to kinetic and fluid dynamic equations
Selected Publications:
  1. Renjun Duan and Hongjun Yu, The Vlasov-Poisson-Landau system near a local Maxwellian. Accepted for publication in Advances in Mathematics, 2019.
  2. Renjun Duan, Shuangqian Liu, Shota Sakamoto, and Robert M. Strain, Global mild solutions of the Landau and non-cutoff Boltzmann equations. Accepted for publication in Communications on Pure and Applied Mathematics, 2019.
  3. Renjun Duan, Feimin Huang, Yong Wang, and Zhu Zhang, Effects of soft interaction and non-isothermal boundary upon long-time dynamics of rarefied gas. Archive for Rational Mechanics and Analysis, 234 (2019), no. 2, 925-1006.
  4. Renjun Duan and Yong Wang, The Boltzmann equation with large-amplitude initial data in bounded domains. Advances in Mathematics, 343 (2019), 36-109.
  5. Renjun Duan and Hongjun Yu, The relativistic Boltzmann equation for soft potentials. Advances in Mathematics, 312 (2017), 315-373.
  6. Renjun Duan, Feimin Huang, Yong Wang and Tong Yang, Global well-posedness of the Boltzmann equation with large amplitude initial data. Archive for Rational Mechanics and Analysis, 225 (2017), no. 1, 375-424.
  7. Renjun Duan, Yuanjie Lei, Tong Yang, and Hui-Jiang Zhao, The Vlasov-Maxwell-Boltzmann system near Maxwellians in the whole space with very soft potentials. Communications in Mathematical Physics, 351 (2017), no. 1, 95-153.
  8. Renjun Duan, Shuangqian Liu and Jiang Xu, Global well-posedness in spatially critical Besov space for the Boltzmann equation. Archive for Rational Mechanics and Analysis, 220 (2016), no. 2, 711-745.
  9. Renjun Duan, Global smooth dynamics of a fully ionized plasma with long-range collisions. Annales de l'Institut Henri Poincare -Analyse non lineaire, 31 (2014), no. 4, 751-778.
  10. Renjun Duan and Shuangqian Liu, The Vlasov-Poisson-Boltzmann system without angular cutoff. Communications in Mathematical Physics, 324 (2013), no. 1, 1-45.
  11. Yoshihiro Ueda, Renjun Duan and Shuichi Kawashima, Decay structure for symmetric hyperbolic systems with non-symmetric relaxation and its application. Archive for Rational Mechanics and Analysis, 205 (2012), no. 1, 239-266.
  12. Renjun Duan and Robert M. Strain, Optimal large-time behavior of the Vlasov-Maxwell-Boltzmann system in the whole space. Communications on Pure and Applied Mathematics, 64 (2011), no. 11, 1497-1546.
  13. Renjun Duan and Robert M. Strain, Optimal time decay of the Vlasov-Poisson-Boltzmann system in $R^3$. Archive for Rational Mechanics and Analysis, 199 (2011), no. 1, 291-328.
  14. Renjun Duan, Alexander Lorz and Peter Markowich, Global solutions to the coupled chemotaxis-fluid equations. Communications in Partial Differential Equations, 35 (2010), no. 9, 1635-1673.
  15. Renjun Duan, Massimo Fornasier and Giuseppe Toscani, A kinetic flocking model with diffusions. Communications in Mathematical Physics, 300 (2010), no. 1, 95-145.
  16. Renjun Duan, Seiji Ukai, Tong Yang and Huijiang Zhao, Optimal decay estimates on the linearized Boltzmann equation with time-dependent forces and their applications. Communications in Mathematical Physics, 277 (2008), no. 1, 189-236.

Courses

Course Code Course Title Academic Year Term
MATH2040A Linear Algebra II 2020/21 1
MATH4240 Stochastic Processes 2020/21 2
MATH6042 Topics in Differential Equations II 2020/21 2
Course Code Course Title Academic Year Term
MATH2040A Linear Algebra II 2019/20 1
MATH4240 Stochastic Processes 2019/20 2
MATH6042A Topics in Differential Equations II 2019/20 2
MATH2040A Linear Algebra II 2018/19 1
MATH4240 Stochastic Processes 2018/19 2
MATH6042 Topics in Differential Equations II 2018/19 2
MATH4240 Stochastic Processes 2017/18 2
MATH6041B Topics in Differential Equations I 2017/18 2
MATH2010A Advanced Calculus I 2016/17 1
MATH4240 Stochastic Processes 2016/17 2
MATH5022 Theory of Partial Differential Equations 2016/17 2
MATH4240 Stochastic Processes 2015/16 2
MATH5022 Theory of Partial Differential Equations 2015/16 2
MATH2010A Advanced Calculus I 2014/15 1
MATH2020B Advanced Calculus II 2014/15 2
MATH4220 Partial Differential Equations 2014/15 2