[1] Chen G Q, Levermore C D, Liu T P. Hyperbolic conservation laws with stiff relaxation terms and entropy.
Comm Pure Appli Math, 1994, 47: 787-830

[2] Chen G Q, Liu T P. Zero relaxation and dissipative limits for hyperbolic conservation laws. Comm Pure
Appl Math, 1993, 46: 755-81

[3] Chern I L. Long-time effect of relaxation for hyperbolic conservation laws. Comm Math Phys, 1995, 172:
39-55

[4] Jin S, Xin J. The relaxation schemes for systems of conservation laws in arbitrary space dimensions. Comm
Pure Appl Math, 1995, 48: 555-63

[5] Kawashima S, Matsumura A. Asymptotic stability of travelling wave solutions of system for one-dimensional
gas motion. Comm Math Phys, 1985, 101: 97-127

[6] Lenhart S, Bhat M. Application of distributed parameter control model in wildfile damage management.
Math Methods Appl Sci, 1992, 2: 423-39

[7] LeVeque R J, Wang J. A linear hyperbolic system with stiff source terms. In: Nonlinear hyperbolic
problems: theoretical, applied and computational aspects (Taormina, 1992) 401-8, Notes Numer Fluid
Mech, 43, Vieweg, Braunschweig, 1993

[8] Liu H L,Woo CW, Yang T. Decay rate for travelling waves of a relaxation model. J Differential Equations,
1997, 134: 343-67

[9] Liu H L, Wang J, Yang T. Stability in a relaxation model with a nonconvex flux. SIAM J Math Anal,
1998, 29: 18-29

[10] Liu T P. Hyperbolic conservation laws with relaxation. Comm Math Phys, 1987,108: 153-75

[11] Liu T P, Ying L A. Nonlinear stability of strong detonations for a viscous combustion model. SIAM J
Math Anal, 1996, 26: 275-92

[12] Mascia C, Natalini R. L1 nonlinear stability of travelling waves for a hyperbolic system with relaxation.
J Differential Equations, 1996, 132: 275-92

[13] Matsumura A, Nishihara K. Asymptotic stability of travelling waves of scalar viscous conservation laws
with non-convex nonlinearity. Comm Math Phys, 1994, 165: 83-96

[14] Mei M, Yang T. Convergence rates to travelling waves for a non-convex relaxation model. Proceedings of
the Royal Society of Edinburgh, 1998, 128A: 1053-1068

[15] Natalini R. Convergence to equilibrium for the relaxation approximation of convergence laws with non-
convex nonlinearity. Comm Pure Appl Math, 1996, 49: 795-823

[16] Nishida T. Nonlinear hyperbolic equations and related topics in fluid dynamics. Publ Math D’osay 78, 02
Dept, de Math, Paris-Sud, France, 1978

[17] Nishihara K, Zhao H J. Convergence rates to viscous shock profile for general scalar viscous convergence
laws with large initial disturbance. J Math Soc Japan, 2002, 54(2): 447-466

[18] Nishikawa K. Convergence rate to the travelling wave for viscous conservation laws. Funkcialaj Ekvacioj,
1998, 41: 107-132

[19] Whitham J. Linear and nonlinear Waves. New York: Wiley, 1974

[20] Yang T, Zhao H J, Zhu C J. Asymptotic behavior of solutions to a hyperbolic system with relaxation and
boundary effect. J Differential Equations, 2000, 163(2): 348-80

[21] Zhao H J. Nonlinear stability of strong planar rarefaction waves for the relaxation approximation of
conservation laws in several space dimensions. J Differential Equations, 2000, 163 (1): 198-222

[22] Zhao H J. Weakly nonlinear limit for the relaxation approximation of conservation laws in several space
dimensions. Journal of Differential Equations, 1999, 151: 161-190

[23] Zhu C J. Asymptotic behavior of solutions for p-system with relaxation. J Differential Equations, 2002,180:
273-306

[24] Yang Tong, Zhu Changjiang. Existence and non-existence of global smooth solutions for p-system with
relaxation. Journal of Differential Equations, 2000, 161: 321-336