Buyang Li   李步揚

Department of Applied Mathematics
The Hong Kong Polytechnic University
Hung Hom, Kowloon, Hong Kong
Office: Room TU810, Yip Kit Chuen Building
Phone: (+852) 3400 3416

Research Interests     Publication     PhD students and Postdocs     Postdoc Position advailable

  • Numerical methods and analysis for partial differential equations
  • PDEs on surfaces, surface evolution under mean curvature flow and Willmore flow ← click here
  • Shallow water equations and simulation of ocean currents
  • Incompressible Navier–Stokes equations (PDF)
  • Semilinear parabolic equations and phase field equation
  • Maximal Lp-regularity of time discretization methods
  • 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
    1. Well-posedness and numerical approximation of a fractional diffusion equation with a nonlinear variable order (PDF)
    2. Subdiffusion with time-dependent coefficients: improved regularity and second-order time stepping (PDF)
    3. Subdiffusion with a time-dependent coefficient: analysis and numerical solution (PDF)
    4. Sharp convergence rates of time discretization for stochastic time-fractional PDEs subject to additive space-time white noise (PDF)
    5. Time discretization of the tempered fractional Feynman-Kac equation with measure data (PDF)
    6. Boundary problems for the fractional and tempered fractional operators (PDF)
    7. Numerical analysis of nonlinear subdiffusion equations (PDF)
    8. Correction of high-order BDF convolution quadrature for fractional evolution equation (PDF)
  • 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