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Dr. Wei XIANG (向偉)

Associate Professor

Contact Information

Office: Y6508 AC 1
Phone: +852 34422598
Fax: +852 34420250
Email: weixiang@cityu.edu.hk

Research Interests

  • Nonlinear Hyperbolic Conservation Laws and Multidimensional Shock Waves.
  • Nonlinear Equations of Hyperbolic-Elliptic Mixed Type.
  • Mathematical Theory of Fluid Mechanics.
Dr Wei Xiang received his BSc in Pure Mathematics from Sichuan University in 2007, and PhD in Mathematics from the Fudan University in 2012. Before joining City University in 2014, he worked as a Titchmarsh research fellow of the Mathematical Institute as well as a junior research fellow of the Keble college at the University of Oxford. His research interests include nonlinear partial differential equations in fluid mechanics and related analysis.


Awards and Achievements

  • 2015 “Early Career Award” Research Grants Council, Hong Kong.
  • 2020 “HKMS Oustanding Young Scholars Award” Hong Kong Mathematical Soceity.


Previous Experience

  • Sep 2013 - Aug 2014, Junior Research Fellow at Keble College., University of Oxford.
  • Sep 2012 - Aug 2014, Titchmarsh Research Fellowship, University of Oxford.


Publications Show All Publications Show Prominent Publications


Journal

  • Kuang, Jie. , Xiang, Wei. & Zhang, Yongqian. (2023). Convergence rate of hypersonic similarity for steady potential flows over two-dimensional Lipschitz wedge. Calculus of Variations and Partial Differential Equations. 62.
  • Fang, Beixiang. , Xiang, Wei. & Xiao, Feng. (2023). Local well-posedness of unsteady potential flows near a space corner of right angle. Journal of Differential Equations. 347. 104 - 169.
  • Fang, Beixiang. , Xiang, Wei. & Xiao, Feng. (2023). Persistence of the steady planar normal shock structure in 3-D unsteady potential flows. Journal of the London Mathematical Society.
  • Cao, Gaowei. , Kan, Hui. , Xiang, Wei. & Yang, Xiaozhou. (2023). Smooth Solution of Multi-dimensional Nonhomogeneous Conservation Law: Its Formula, and Necessary and Sufficient Blowup Criterion. Acta Mathematicae Applicatae Sinica. 39. 17 - 27.
  • Fan, Lili. , Ruan, Lizhi. & Xiang, Wei. (2022). Asymptotic Stability of Shock Wave for the Outflow Problem Governed by the One-Dimensional Radiative Euler Equations. Communications in Mathematical Analysis and Applications. 1. 112 - 151.
  • Lai, Ning-An. , Xiang, Wei. & Zhou, Yi. (2022). Global Instability of Multi-Dimensional Plane Shocks for Isothermal Flow. Acta Mathematica Scientia. 42. 887 - 902.
  • Fan, Lili. , Ruan, Lizhi. & Xiang, Wei. (2022). Global stability of rarefaction wave for the outflow problem governed by the radiative Euler equations. Indiana University Mathematics Journal. 71. 463 - 508.
  • Pei, Yu. & Xiang, Wei. (2022). Global Subsonic Jet with Strong Transonic Shock over a Convex Cornered Wedge for the Two-Dimensional Steady Full Euler Equations. SIAM Journal on Mathematical Analysis. 54. 4407 - 4451.
  • Chen, Gui-Qiang. , Chen, Jun. & Xiang, Wei. (2021). Stability of Attached Transonic Shocks in Steady Potential Flow past Three-Dimensional Wedges. Communications in Mathematical Physics. 387. 111 - 138.
  • Huang, Feimin. , Kuang, Jie. , Wang, Dehua. & Xiang, Wei. (2021). Stability of transonic contact discontinuity for two-dimensional steady compressible Euler flows in a finitely long nozzle. Annals of PDE. 7. 1 - 96.
  • Fan, Lili. , Ruan, Lizhi. & Xiang, Wei. (2020). Asymptotic stability of viscous contact wave for the inflow problem of the one-dimensional radiative Euler equations. Discrete and Continuous Dynamical Systems Journal. 41. 1971 - 1999.
  • Chen, Gui-Qiang. , Feldman, Mikhail. & Xiang, Wei. (2020). Convexity of Self-Similar Transonic Shocks and Free Boundaries for the Euler Equations for Potential Flow. Archive for Rational Mechanics and Analysis. 238. 47 - 124.
  • Kuang, Jie. , Xiang, Wei. & Zhang, Yongqian. (2020). Hypersonic Similarity for the Two Dimensional Steady Potential Flow with Large Data. Annales de l'Institut Henri Poincare / Analyse non lineaire. 37. 1379 - 1423.
  • Chen, Gui-Qiang. , Feldman, Mikhail. , Hu, Jingchen. & Xiang, Wei. (2020). Loss of Regularity of Solutions of the Lighthill Problem for Shock Diffraction for Potential Flow. SIAM Journal on Mathematical Analysis. 52. 1096 - 1114.
  • Li, Mingjie. , Wang, Tian-Yi. & Xiang, Wei. (2020). Low Mach number limit of multidimensional steady flows on the airfoil problem. Calculus of Variations and Partial Differential Equations. 59. 1 - 21.
  • Li, Mingjie. , Wang, Tian-Yi. & Xiang, Wei. (2020). Low Mach Number Limit of Steady Euler Flows in Multi-Dimensional Nozzles. Communications In Mathematical Sciences. 18. 1191 - 1220.
  • Fang, Beixiang. , Xiang, Wei. & Xiao, Feng. (2020). Persistence of the steday normal shock structure for the unsteady potential flow. SIAM Journal on Mathematical Analysis. 52. 6033 - 6104.
  • Cheng, Jianfeng. , Du, Lili. & Xiang, Wei. (2020). Steady incompressible axially symmetric Réthy flows. Nonlinearity. 33(9). 4627 - 4669.
  • Fan, Lili. , Ruan, Lizhi. & Xiang, Wei. (2019). Asymptotic stability of a composite wave of two viscous shock waves for the one-dimensional radiative Euler equations. Annales de l'Institut Henri Poincare / Analyse non lineaire. 36. 1 - 25.
  • Fan, Lili. , Ruan, Lizhi. & Xiang, Wei. (2019). Asymptotic stability of rarefaction wave for the inflow problem governed by the one-dimensional radiative Euler equations. SIAM Journal on Mathematical Analysis. 51. 595 - 625.
  • Cheng, Jianfeng. , Du, Lili. & Xiang, Wei. (2019). Compressible subsonic jet flows issuing from a nozzle of arbitrary cross-section. Journal of Differential Equations. 266. 5318 - 5359.
  • Cheng, Jianfeng. , Du, Lili. & Xiang, Wei. (2019). Incompressible Jet Flows in a de Laval Nozzle with Smooth Detachment. Archive for Rational Mechanics and Analysis. 232. 1031 - 1072.
  • Huang, Feimin. , Kuang, Jie. , Wang, Dehua. & Xiang, Wei. (2019). Stability of supersonic contact discontinuity for two-dimensional steady compressible Euler flows in a finite nozzle. Journal of Differential Equations. 266. 4337 - 4376.
  • Chen, Gui-Qiang. , Huang, Feimin. , Wang, Tian-Yi. & Xiang, Wei. (2019). Steady Euler flows with large vorticity and characteristic discontinuities in arbitrary infinitely long nozzles. Advances in Mathematics. 346. 946 - 1008.
  • Wang, Yongfu. & Xiang, Wei. (2019). Two-phase fluids in collision of incompressible inviscid fluids effluxing from two nozzles. Journal of Differential Equations. 267. 6783 - 6830.
  • Deng, Xuemei. , Wang, Tian-Yi. & Xiang, Wei. (2018). Three-Dimensional Full Euler Flows with Nontrivial Swirl in Axisymmetric Nozzles. SIAM Journal on Mathematical Analysis. 50. 2740 - 2772.
  • Qu, Aifang. & Xiang, Wei. (2018). Three-Dimensional Steady Supersonic Euler Flow Past a Concave Cornered Wedge with Lower Pressure at the Downstream. Archive for Rational Mechanics and Analysis. 228. 431 - 476.
  • Xiang, Wei. , Zhang, Yongqian. & Zhao, Qin. (2018). Two-dimensional steady supersonic exothermically reacting Euler flows with strong contact discontinuity over a Lipschitz wall. Interfaces and Free Boundaries. 20. 437 - 481.
  • Cao, Gaowei. , Xiang, Wei. & Yang, Xiaozhou. (2017). Global structure of admissible solutions of multi-dimensional non-homogeneous scalar conservation law with Riemann-type data. Journal of Differential Equations. 263. 1055 - 1078.
  • Cheng, Jianfeng. , Du, Lili. & Xiang, Wei. (2017). Incompressible Réthy Flows in Two Dimensions. SIAM Journal on Mathematical Analysis. 49. 3427 - 3475.
  • Chen, Gui-Qiang. , Huang, Feimin. , Wang, Tian-Yi. & Xiang, Wei. (2016). Incompressible limit of solutions of multidimensional steady compressible Euler equations. Zeitschrift fur Angewandte Mathematik und Physik. 67.
  • Fang, Beixiang. & Xiang, Wei. (2016). The uniqueness of transonic shocks in supersonic flow past a 2-D wedge. Journal of Mathematical Analysis and Applications. 437. 194 - 213.
  • Chen, Gui-Qiang. , Deng, Xuemei. & Xiang, Wei. (2014). Shock diffraction by convex cornered wedges for the Nonlinear Wave Equation. Archive for Rational Mechanics and Analysis. 211. 61 - 112.
  • Chen, Gui-Qiang. , Xiang, Wei. & Zhang, Yongqian. (2013). Weakly nonlinear geometric optics for hyperbolic systems of conservation laws. Comm. Partial Differential Equations. 38. 1936 - 1970.
  • Chen, Gui-Qiang. , Deng, Xuemei. & Xiang, Wei. (2012). Global steady subsonic flows through infinitely long nozzles for the full Euler equations. SIAM J. Math. Anal. 44. 2888 - 2919.
  • Deng, Xuemei. & Xiang, Wei. (2011). Global solutions of shock reflection by wedges for the nonlinear wave equation. Chin. Ann. Math. Ser. B. 32. 643 - 668.


External Services


Public Service

  • Aug 2021 - Now, editor in a journal, CMAA.
  • 2020 - Now, Programme Secretary, Hong Kong Maths Society.
  • 2016 - 2020, Treasurer, Hong Kong Maths Society.


Service in CityU


Research / Thesis Supervision

  • 2021 - Now, PENG Wenjian, PhD student.
  • 2018 - 2023, PEI Yu, PhD Student.
  • 2016 - 2019, XIAO Feng, PhD Student.

Teaching Service

  • Jan 2023 - May 2023, MA8005 Advanced Partial Differential Equations I.
  • Sep 2022 - Dec 2022, MA3512 Partial Differential Equations.
  • Sep 2022 - Dec 2022, MA4545 Applied Differential Geometry.
  • Jan 2022 - May 2022, MA1201 Calc & Basic Linear Algebra II..
  • Sep 2021 - Dec 2021, MA1200 Calc & Basic Linear Algebra I.
  • Sep 2021 - Dec 2021, MA3530 Selected Topics on Mathematics.
  • Sep 2021 - Dec 2021, MA4545 Applied Differential Geometry.
  • Jan 2021 - May 2021, MA1201 Calc & Basic Linear Algebra II.
  • Jan 2021 - May 2021, MA8011 Methods for Applied MA.
  • Sep 2020 - Dec 2020, MA4545 Applied Differential Geometry.
  • Jan 2020 - May 2020, MA4551 Intro to Functional Analysis.
  • Jan 2020 - May 2020, MA8011 Methods for Applied MA.
  • Sep 2019 - Dec 2019, MA2185 Discrete Mathematics.
  • Jan 2019 - May 2019, MA1201 Calc & Basic Linear Algebra II.
  • Jan 2019 - May 2019, MA4542 Real Analysis.
  • Sep 2018 - Dec 2018, MA4551 Intro to Functional Analysis.
  • Jan 2018 - May 2018, MA1201 Calc & Basic Linear Algebra II.
  • Jan 2018 - May 2018, MA3001 Differential Equations.
  • Sep 2017 - Dec 2017, MA1200 Calc & Basic Linear Algebra I.
  • Sep 2017 - Dec 2017, MA8001 Seminars on Ap' Math I.
  • Jan 2017 - May 2017, MA1201 Calc & Basic Linear Algebra II.
  • Jan 2017 - May 2017, MA3001 Differential Equations .
  • Sep 2016 - Dec 2016, MA1200 Calc & Basic Linear Algebra I.
  • Jan 2016 - May 2016, MA0101 Basic Engineering Math I.
  • Jan 2016 - May 2016, MA3001 Differential Equations.
  • Sep 2015 - Dec 2015, MA1200 Calc & Basic Linear Algebra I.
  • Jan 2015 - May 2015, MA1201 Calc & Basic Linear Algebra II.
  • Sep 2014 - Dec 2014, MA5601 Applied Partial Differential Equations.


Last update date : 12 Aug 2023