Decay Rate for Travelling Waves of a Relaxation Model

Journal of Differential Equations

Volumn 134, Issue 2, 1997, Pages 343-367

  Liu, Hailiang ^a   Woo, Ching Wah ^b   Yang, Tong ^b  

^a HENAN NORMAL UNIVERSITY   (China)

^b CITY UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000836780     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1006/jdeq.1996.3220     Document Type: Article

References (12)

1. Clarke J. F. Gas dynamics with relaxation effects. Rep. Prog. Phys. 41:1978;807-863.
2. Chen G.-Q., Levermore C. D., Liu T. P. Hyperbolic conservation laws with stiff relaxation terms and entropy. Comm. Pure Appl. Math. 47:1993;787-830.
3. Il'in A. M., Olienik O. A. Asymptotic behavior of solutions of the Cauchy problem for certain quasilinear equations for large time. Mat. Sb. 51:1960;191-216.
4. Jin Shi, Xin Zhouping. The relaxing schemes for systems of conservation laws in arbitrary space dimensions. Comm. Pure Appl. Math. 48:1995;555-563.
5. Jones C., Gardner R., Kapitula T. Stability of travelling waves for non-convex scalar viscous conservation laws. Comm. Pure Appl. Math. 46:1993;505-526.
6. Liu T. P. Hyperbolic conservation laws with relaxation. Comm. Math. Phys. 108:1987;153-175.
7. Whitham G. Linear and Nonlinear Waves. 1974;Wiley-Interscience, New York.
8. H. L. Liu, H. L. Liu, J. H. Wang, T. Yang, Asymptotic stability of shock profiles for non-convex convection-diffusion equation, Appl. Math. Lett.
9. H. L. Liu, J. Wang, 1995, Asymptotic stability of travelling wave solutions of a hyperbolic system with relaxation terms.
10. R. J. Leveque, J. Wang, A linear hyperbolic system with stiff source terms, Proc. Fourth Int. Conf. on Hyperbolic Problems, Taormina, Italy, 1992.
11. Matsumura A., Nishihara K. Asymptotic stability of travelling waves of scalar viscous conservation laws with non-convex nonlinearity. Comm. Math. Phys. 165:1994;83-96.
12. Nishida T. Nonlinear Hyperbolic Equations and Related Topics in Fluid Dynamics. Publ. Math. Orsay. Vol. 78:1978;Univ. Paris-Sud.