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