Document

Buyang Li

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

Curriculum Vitae

Research Interests     Publication     Research Group     PhD, Postdoc and Visiting Scholar Positions

PhD students:

  • Han Yang               (BSc from University of Oxford), 5/2024–present.

  •                                Research area: 3D surface reconstruction

  • Tiantian Huang      (BSc from University of Science and Technology of China), 9/2023–present.

  •                                Research area: Surface evolution under geometric curvature flows, finite element methods (FEMs)

  • Yupei Xie               (BSc from Peking University), 9/2022–present.

  •                                Research area: Pointwise estimates of FEMs, arbitrary Lagrangian-Eulerian method, moving boundary problems

  • Qiqi Rao                (BSc from Tsinghua University), 9/2021–present. Co-supervised with Prof. Yanping Lin.

  •                                Research area: Shape optimization, moving interface, arbitrary Lagrangian-Eulerian method, subidffusion equation

  • Genming Bai         (BSc from Peking University), 1/2022–11/2023.

  •                                Research area: Geometric curvature flows, low-regularity integrators, harmonic map heat flows, maximal Lp regularity

  • Shu Ma                  (BSc from Northwestern Polytechnic University), 9/2019–8/2022.

  •                                Research area: Nonlinear Schrödinger equation, Navier-Stokes equations, nonsmooth initial data, exponential integrator

  • Kai Wang               9/2017–8/2020.

  •                                Research area: Stokes-Darcy system, subdiffusion equation, phase field problems, BDF methods, convolution quadrature

    Postdoctoral/Research Fellows:

  • Rong Tang             (PhD from John Hopkins University), 8/2023–present.

  •                                Research area: Surface evolution, geometric flow, harmonic map heat flow, nonlinear Schrödinger equation

  • Guangwei Gao       (PhD from Peking University), 8/2023–present.

  •                                Research area: Parametric finite element methods for geometric flow, fully nonlinear PDEs

  • 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

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

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

  • Zongze Yang          (PhD from Northwestern Polytechnical University), 10/2021–9/2024.

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

  • Yonglin Li              (PhD from Nanjing University), 11/2020–8/2024.

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

  • Jiashun Hu             (PhD from Tsinghua University), 3/2021–6/2024.

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

  • Yanrong Zhang      (PhD from Xiamen University), 9/2022–3/2024.

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

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

  •                                 Current Position: Assistant Professor (specially appointed) at Hokkaido University (北海道大學)

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