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
Email: buyang.li@polyu.edu.hk
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
    1. Analyticity, maximal regularity and maximum-norm stability of FEM for parabolic equations in nonconvex polyhedra (PDF)
    2. Maximal Lp error analysis of FEMs for nonlinear parabolic equations with nonsmooth coefficients (PDF)
    3. Maximal Lp analysis of FEM for parabolic equations with nonsmooth coefficients in convex polyhedra (PDF)
    4. Maximum-norm stability and maximal Lp regularity of FEMs for parabolic equations with Lipschitz continuous coefficients (PDF)
  • 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