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

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Address:
Room 206, Lady Shaw Building,
The Chinese University of Hong Kong,
Shatin, N.T., Hong Kong

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Tel:
(852) 3943 7977

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Email:
rjduan@math.cuhk.edu.hk

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Personal Website:
http://www.math.cuhk.edu.hk/~rjduan/

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

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Selected Publications:
Renjun Duan, Wei-Xi Li, and Lvqiao Liu, Gevrey regularity of mild solutions to the non-cutoff Boltzmann equation. Accepted for publication in Advances in Mathematics, 2021.
Renjun Duan and Shuangqian Liu, The Boltzmann equation for uniform shear flow. Archive for Rational Mechanics and Analysis, 242 (2021), no. 3, 1947-2002.
Renjun Duan and Shuangqian Liu, Compressible Navier-Stokes approximation for the Boltzmann equation in bounded domains. Transactions of the American Mathematical Society, 374 (2021), no. 11, 7867-7924.
Renjun Duan, Dongcheng Yang, and Hongjun Yu, Small Knudsen rate of convergence to rarefaction wave for the Landau equation. Archive for Rational Mechanics and Analysis, 240 (2021), no. 3,1535-1592.
Renjun Duan, Shuangqian Liu, Shota Sakamoto, and Robert M. Strain, Global mild solutions of the Landau and non-cutoff Boltzmann equations. Communications on Pure and Applied Mathematics, 74 (2021), no. 5, 932-1020.
Renjun Duan and Hongjun Yu, The Vlasov-Poisson-Landau system near a local Maxwellian. Advances in Mathematics, 362 (2020), 106956, 83 pp.
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.
Renjun Duan and Yong Wang, The Boltzmann equation with large-amplitude initial data in bounded domains. Advances in Mathematics, 343 (2019), 36-109.
Renjun Duan and Hongjun Yu, The relativistic Boltzmann equation for soft potentials. Advances in Mathematics, 312 (2017), 315-373.
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.
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.
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.
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.
Renjun Duan and Shuangqian Liu, The Vlasov-Poisson-Boltzmann system without angular cutoff. Communications in Mathematical Physics, 324 (2013), no. 1, 1-45.
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.
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.
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.
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.
Renjun Duan, Massimo Fornasier and Giuseppe Toscani, A kinetic flocking model with diffusions. Communications in Mathematical Physics, 300 (2010), no. 1, 95-145.
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.

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Courses























Current Academic Year
Course Code Course Title Academic Year Term
MATH2040A Linear Algebra II 2021/22 1
MATH4240 Stochastic Processes 2021/22 2





Previous Academic Years
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
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