Brief CV Teaching Research Conferences Useful link Papers and preprints

Hailiang Liu

Department of Mathematics Iowa State University Ames, IA 50011-2064 Office: 434 Carver Hall Tel: 515-294-0392 Fax: 515-294-5454

• I am a Professor at the Department of Mathematics , ISU. My general research interests lie in the area of computational and applied mathematics. I have conducted research in analysis and numerical computation of hyperbolic balance laws, kinetic transports, and Schroedinger equations with applications in fluids, plasma and polymers.
• I am also a member of the CFD center here at ISU, and a research associate at the Ames Laboratory (DOE facility).
• Associate Editor for the journal: Journal of Mathematical Analysis and Applications
• This spring I am teaching Math 517 (Finite Difference Methods)
  
  

Recent  Publications

• H. Liu and J. Ralston
  Recovery of high frequency wave fields from phase space based measurements, Multiscale Model. Simul. 8(2) (2010), 622--644.

• H. Liu and J. Ralston
  Recovery of high frequency wave fields for the acoustic wave equation, Multiscale Model. Simul. 8(2) (2009), 428--444.

• P. Degond and H. Liu
  Kinetic models for polymers with inertial effects, Networks and Heterogeneous Media. 4(4)(2009), 625--647.

• H. Liu, E. Tadmor and D. Wei
  Global regularity of the 4D Restricted Euler equations, Physics D. published online July 2009.

• Tong Li and H. Liu
  Critical thresholds in hyperbolic relaxation systems, J. Diff. Equ. 247(1) (2009), 33--48.

• H. Liu and Zhongming Wang
  A Bloch band based level set method for computing the semi-classical limit of Schroedinger equations, J. Comp. Phys. 228(9) (2009), 3326--3344.

• Tong Li and H. Liu
  Critical thresholds in a relaxation system with resonance of characteristic speeds, Discrete and Continuous Dynamical Systems, Series A. 24(2) (2009), 511-521.

• H. Liu and J. Yan
  The Direct Discontinuous Galerkin (DDG) methods for diffusion problems, SIAM Journal on Numerical Analysis. 47(1) (2009), 675--698.

• H. Liu
  On discreteness of the Hopf equation, Acta Math. Appl. Sin. Engl. Ser. 24 (2008), no. 3, 423--440.

• H. Liu and Z.M. Wang
  Superposition of multi-valued solutions in high frequency wave dynamics, Journal of Scientific Computing, 35(2-3) (2008), 192--218.

• H. Liu and C. Sparber
  Rigorous Derivation of the Hydrodynamical Equations for Rotating Superfluids , Mathematical Models and Methods in Applied Sciences, 18(5) (2008), 689--706.

• T. Li and H. Liu
  Critical thresholds in a relaxation model for travel flows, Indiana Univ. Math. Journal, 57(3) (2008), 1409--1430.

• M. D. Francesco, K. Fellner and H. Liu
  A non-local conservation law with nonlinear radiation inhomogeneity. J. Hyperbolic Differ. 5(1) (2008), 1--23.

• Chun Liu and H. Liu
  Boundary Conditions for the Microscopic FENE Models. SIAM J. Appl. Math. 68 (5) (2008), 1304--1315.

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