Prof. Renjun DUAN

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

Prof. Renjun DUAN
Room 206, Lady Shaw Building,
The Chinese University of Hong Kong,
Shatin, N.T., Hong Kong

(852) 3943 7977

Fields of Interest:
PDEs related to kinetic and fluid dynamic equations

Selected Publications:
  1. Renjun Duan, Feimin Huang, Yong Wang, and Zhu Zhang, Effects of soft interaction and non-isothermal boundary upon long-time dynamics of rarefied gas. Accepted for publication in Archive for Rational Mechanics and Analysis, 2019.
  2. Renjun Duan and Yong Wang, The Boltzmann equation with large-amplitude initial data in bounded domains. Advances in Mathematics, 343 (2019), 36-109.
  3. Renjun Duan and Hongjun Yu, The relativistic Boltzmann equation for soft potentials. Advances in Mathematics, 312 (2017), 315-373.
  4. 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.
  5. 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.
  6. 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.
  7. 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.
  8. Renjun Duan and Shuangqian Liu, The Vlasov-Poisson-Boltzmann system without angular cutoff. Communications in Mathematical Physics, 324 (2013), no. 1, 1-45.
  9. 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.
  10. 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.
  11. 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.
  12. 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.
  13. Renjun Duan, Massimo Fornasier and Giuseppe Toscani, A kinetic flocking model with diffusions. Communications in Mathematical Physics, 300 (2010), no. 1, 95-145.
  14. 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.