Prof. Renjun DUAN

Assistant 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 and Shuangqian Liu, Stability of the rarefaction wave of the Vlasov-Poisson-Boltzmann system. accepted for publication in SIAM Journal on Mathematical Analysis (2015).
  2. Renjun Duan, Qingqing Liu and Changjiang Zhu, Darcy's law and diffusion for a two-fluid Euler-Maxwell system with dissipation. Mathematical Models and Methods in Applied Sciences, 25 (2015), 2089-2151.
  3. Renjun Duan and Shuangqian Liu, Stability of rarefaction waves of the Navier-Stokes-Poisson system. J. Differential Equations, 258 (2015), no. 7, 2495-2530.
  4. 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.
  5. Renjun Duan and Shuangqian Liu, The Vlasov-Poisson-Boltzmann system without angular cutoff. Communications in Mathematical Physics, 324 (2013), no. 1, 1-45.
  6. Renjun Duan and Wei-Xi Li, Hypocoercivity for the linear Boltzmann equation with confining forces. Journal of Statistical Physics, 148 (2012), no. 2, 306-324.
  7. 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.
  8. Renjun Duan, Green's function and large time behavior of the Navier-Stokes-Maxwell system. Analysis and Applications, 10 (2012), no. 2, 133-197.
  9. 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.
  10. Renjun Duan, Global smooth flows for the compressible Euler-Maxwell system: Relaxation case. Journal of Hyperbolic Differential Equations, 8 (2011), no. 2, 375-413.
  11. Jose A. Carrillo, Renjun Duan and Ayman Moussa, Global classical solutions close to equilibrium to the Vlasov-Euler-Fokker-Planck system. Kinetic and Related Models, 4 (2011), no. 1, 227-258.
  12. 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.
  13. 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.
  14. Renjun Duan, Massimo Fornasier and Giuseppe Toscani, A kinetic flocking model with diffusions. Communications in Mathematical Physics, 300 (2010), no. 1, 95-145.
  15. Renjun Duan, Klemens Fellner and Changjiang Zhu, Energy method for multi-dimensional balance laws with non-local dissipation. Journal Mathematiques Pures Appliquees, 93 (2010), no. 6, 572-598.
  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.