Buyang Li   李步揚
(Associate Professor)

Department of Applied Mathematics
The Hong Kong Polytechnic University
Hung Hom, Kowloon, Hong Kong
Office: Room TU810, Yip Kit Chuen Building
Email: buyang.li@polyu.edu.hk
Phone: (+852) 3400 3416

Research Interests     Publication     PhD students and Postdocs     PhD and Postdoc Positions available

  • Numerical methods and analysis for partial differential equations
  • Low-regularity approximation to nonlinear dispersive equations (PDF)

  • PDEs on surfaces, surface evolution under mean curvature flow and Willmore flow ▼ ← click here

  • Shallow water equations and simulation of ocean currents ▼

    1. A mass conservative, well balanced, positivity preserving, tangentially flowing and energy decaying method for the shallow water equations

    2. Convergence of a second-order energy-decaying method for the viscous rotating shallow water equation (PDF)

  • Incompressible Navier–Stokes equations (PDF)

  • Semilinear parabolic equations and phase field equation ▼
  • Maximal Lp-regularity of time discretization methods ▼
  • Analyticity, maximum-norm stability, and maximal Lp-regularity of finite element solutions to parabolic equations ▼
  • Absorbing boundary conditions/boundary integral equations for wave propagation in an unbounded domain (PDF)
  • Dirichlet boundary control of parabolic equations (PDF)
  • Fast preconditioned iterative method for optimal control of wave problems (PDF)
  • Fractional evolution equations ▼
  • Dynamic Ginzburg-Landau superconductivity equations in nonsmooth domains
  • Time-dependent Joule heating problem (for thermistors with temperature-dependent electric conductivity)
  • Modelling and computation of sweat transport in porous textile materials

  • Well-posedness of nonlinear PDEs
  • Time-dependent Joule heating problem (for thermistors with temperature-dependent electric conductivity)
  • Heat and moisture transport in fibrous media