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.
T. Li and H. Liu
Stability of a traffic flow model with nonconvex relaxation, Comm. Math. Sci., Vol 3 (2), (2005), 101--118.
H. Liu (2004)
Relaxation Dynamics, Scaling Limits and Convergence of Relaxation Schemes, Spring Verlag.
H.L. Liu
Asymptotic Stability of Relaxation Shock Profiles for Hyperbolic Conservation Laws, J. Diff. Equ. 192 (2003), 285--307.
H.L. Liu and W.-A. Yong
Time-Asymptotic stability of boundary-layers for a hyperbolic relaxation system, ,
Comm. Partial Diff. Equ., 26 (2001), 1323--1343.
H.L. Liu
Asymptotic decay to the relaxation shock fronts in two dimensions, Proceedings of the Royal Society of Edinburgh: Section A 131A (2001), 1385--1410.
H. L. Liu, J. Wang and G. Warnecke
Convergence of a splitting scheme applied to the R-W model of the Boltzmann equation, J. Comp. Appl. Math. 134 (2001), 343--367.
H.L. Liu, J. Wang and G. Warnecke
Convergence rate to discrete shocks for nonconvex conservations, Numerische Mathematik, 88 (2001), 513-541.
H. Liu and R. Natalini
Long-Time Diffusive Behavior of Solutions to a Hyperbolic Relaxation System, Asymptotic Analysis, 25 (2001) 21-38.
H.L. Liu
The L^p Stability of Relaxation Rarefaction Profiles, J. Differ Equations, 171, (2001), 397-411.
H. Liu, J. Wang and G. Warnecke
The lip^+ Stability and Error Estimates for a Relaxation Scheme, SIAM J. Numer. Anal. 38 (2000), no. 4, 1154--1170
S. Jin and H. L. Liu
A Diffusive Subcharacteristic Condition for Hyperbolic Systems with Diffusive Relaxation, Transport Theory and Statistical Physics, 29 (3-5), (2000), 583--593.
H.L. Liu, G. Warnecke
Convergence rates for relaxation schemes approximating conservation laws, SIAM J. Numer. Anal. 37, No. 4, (2000), 1316--1337.
H.L. Liu
Convergence rate to the discrete traveling wave for relaxation schemes, Math. Comp. 69 (2000), 583--608.
H.L. Liu, J. Wang and T. Yang
Nonlinear stability and existence of stationary discrete traveling waves for the relaxing schemes, Japan J. Indust. Appl. Math. 16 (1999), 195--224.
S. Jin and H. L. Liu
Diffusion limit of a hyperbolic system with relaxation, Methods Appl. Anal. 5 (1998) 317-334.
H.L. Liu, J. Wang and T. Yang
Stability for a relaxation model with a nonconvex flux, SIAM J. Math. Anal. 29 (1998), 18-29.