Hailiang Liu

Hailiang Liu

  • Professor
I am a Professor at the Department of Mathematics, Iowa State University. My general research interests lie in the area of computational and applied mathematics. I have conducted research in analysis and numerical approximation of time-dependent partial differential equations, including hyperbolic balance laws, kinetic transports, and Schroedinger equations with applications in fluids, plasma and polymers.

Contact Info

434 Carver
411 Morrill Rd.
Social Media and Websites


  • 1995, Ph.D. Applied Math, Chinese Academy of Sciences
  • 1988, M.Sc. Applied Math, Tsinghua University
  • 1984, B.Sc. Math Education, Henan Normal University

More Information

Current Research Topics:

  • Deep Learning: selection dyanmcis for deep neural networks; fast learning algorithms; optimal transport
  • Mathematical Biology: selection dynamics in population evolution; Evolution in biased dispersal in Ecology; aggregation, population balance
  • Critical threhsold analysis: hyperbolic balance laws and related models
  • Recovery of high frequency wave fields: Gaussian beam methods, convergence theory, level set methods for recovery
  • Kinetic theory for photon scattering: Bose-Einstein condensation phenomena in the Kompaneets model
  • Direct discontinuous Galerkin (DDG) methods: fluid equtions, Fokker-Planck equations; dispersive PDEs
  • Alternating evolution (AE) methods: Hamilton-Jacobi equation, fully nonlinear PDEs

Funding Agencies