Critical Threshold Phenomena in Nonlinear Balance Laws
H. Liu
Global orientation dynamics for
liquid crystalline polymers, Physica D. 228 (2007), 122-129.
T. Li and H. Liu (2007)
Critical thresholds in a relaxation model for travel
flows, to appear in J. Indiana Univ.
T. Li and H. Liu (2006)
Critical thresholds in relaxation systems with
resonance of characteristic speeds, submitted.
M. D. Francesco, K. Fellner and H. Liu (2006)
A non-local conservation law with nonlinear `radiation inhomogeneity. Submitted JHDE
H. Liu
Wave Breaking in a class of
nonlocal dispersive wave equations, Journal of Nonlinear Math Phys. 13 (3), (2006), 441-466.
H. Liu
Critical Thresholds in the Semiclassical
Limit of
2-D Rotational Schr\"{o}dinger Equations, ZAMP.
57 (2006), 42-58.
H.L. Liu and E. Tadmor
Rotation Prevents Finite Time Breakdown, Physica D 188
(2004) 262-276.
H.L. Liu and E. Tadmor
Critical Thresholds in 2-D Restricted Euler-Poisson
Equations, SIAM J. Appl. Math. 63 (6) (2003), 1889--1910.
H.L. Liu and E. Tadmor
Semi classical Limit of the
Nonlinear Schrodinger-Poisson Equation with Subcritical Initial Data
Methods and Applications of Analysis, Vol 9,
No. 4 (2002), 517--532.
H.L. Liu and E. Tadmor (2002)
Critical Thresholds and Conditional Stability for Euler
Equations and Related Models, Proceedings
of the Ninth International Conference on ''Hyperbolic Problems: Theory, Numerics, Applications",
Editors: T.Y. Hou and E. Tadmor,
Springer, pp227--240.
H.L. Liu and E. Tadmor
Spectral Dynamics of the Velocity Gradient Field in
Restricted Fluid Flows
Commun. Math. Phys. 228 (2002), 435--466.
H.L. Liu and E. Tadmor
Critical Thresholds in a Convolution Model for
Nonlinear Conservation Laws,
SIAM J. Math. Anal. 33
(2002), 930--945.
S. Engelberg, H.L. Liu and E. Tadmor,
Critical Thresholds in Euler-Poisson equations,
Indiana University Mathematics Journal, 50 (2001), 109--157.