Buyang Li (李步揚)

Associate Professor
Department of Applied Mathematics
The Hong Kong Polytechnic University
Hung Hom, Kowloon, Hong Kong
Email address: buyang.li@polyu.edu.hk
https://orcid.org/0000-0001-7566-3464

Research Interests     Publication     Research Group     PhD and Postdoc Positions available

PhD students:

  • Yupei Xie         9/2022–present. Research area: Pointwise stability of finite element methods (FEMs), arbitrary Lagrangian-Eulerian method, moving boundary problems

  • Genming Bai   1/2022–present. Research area: Geometric curvature flows, low-regularity integrators for the nonlinear Schrödinger equation, harmonic map heat flows

  • Qiqi Rao          9/2021–present. Research area: Shape optimization, moving interface, evolving FEM, arbitrary Lagrangian-Eulerian method, subidffusion equation

  •                          Co-supervised with Prof. Yanping Lin.

  • Shu Ma            9/2019–8/2022. Research area: Nonlinear Schrödinger equation, Navier-Stokes equations, nonsmooth initial data, exponential integrator, stochastic Stokes

  • Kai Wang         9/2017–8/2020. Research area: Stokes-Darcy system, semilinear subdiffusion equation, phase field problems, BDF methods, convolution quadrature

    Postdoctoral/Research Fellows:

  • Hui Zhang             (PhD from Shandong University), 2/2023–present.

  •                                Research area: Nonlinear parabolic PDEs, fractional-order PDEs, and nonlocal models.

  • Dongdong Liang   (PhD from Sichuan University), 1/2023–present.

  •                                Research area: Finite element methods and optimal control of PDEs.

  • Fangyan Yao          (PhD from South China University of Technology), 10/2022–present.

  •                                Research area: Low-regularity integrators for nonlinear dispersive equations

  • Yanrong Zhang      (PhD from Xiamen University), 9/2022–present.

  •                                Research area: Structure-preserving algorithms for phase field equations and the Navier-Stokes equations

  • Zongze Yang          (PhD from Northwestern Polytechnical University), 10/2021–present.

  •                                Research area: Incompressible two-phase flow, arbitrary Lagrangian-Eulerian method, Cahn-Hilliard-Navier-Stokes equations

  • Jiachuan Cao          (PhD from Chinese Academy of Sciences), 9/2021–present.

  •                                Co-supervised with Prof. Yanping Lin.

  •                                Research area: Low-regularity integrators for nonlinear dispersive equations, computational modelling of semi-conductors

  • Jiashun Hu             (PhD from Tsinghua University), 3/2021–present.

  •                                Research area: Mean curvature flow, Willmore flow, surface diffusion, evolving surface FEM, nonlinear Schrödinger equation

  • Yonglin Li              (PhD from Nanjing University), 11/2020–present.

  •                                Research area: Helmholtz equation with large wave numbers, continuous interior penalty FEM, perfectly matched layer method

  • Yuki Ueda              (PhD from University of Tokyo), 4/2019–3/2020.

  •                                 Current Position: Project Assistant Professor at University of Tokyo (東京大學)

  •                                Research area: Navier-Stokes equations, decoupling methods for strongly coupled parabolic systems