Cauchy problem for hyperbolic conservation laws with a relaxation term

Royal Society of Edinburgh - Proceedings A

Volumn 126, Issue 4, 1996, Pages 821-828

  Klingenberg, Christian ^a   Lu, Yun Guang ^b  

^a UNIVERSITY OF HEIDELBERG   (Germany)

^b INSTITUTE OF GEOLOGY AND GEOPHYSICS   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21344458316     PISSN: 03082105     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0308210500023088     Document Type: Article

References (11)

1. G. Q. Chen and L. P. Liu, Zero relaxation and dissipation limits for conservation laws. Comm. Pure Appl. Math. 46 (1993), 755-81.
2. G. Q. Chen and Y. G. Lu, The study on application way of the compensated compactness theory. Chinese Sci. Bull. 34 (1989), 15-9.
3. X. X. Ding, G. Q. Chen and P. Z. Luo, Convergence of the Lax-Friedrichs scheme for isentropic gas dynamics. Acta Math. Sci. 4 (1985), 483-500.
4. Y. G. Lu, The Cauchy problem for an extended model of combustion. Proc. Roy. Soc. Edinburgh Ser. A 120 (1992), 349-60.
5. Y. G. Lu, The global Hölder continuous solution of isentropic gas dynamics. Proc. Roy. Soc. Edinburgh Ser. A 123 (1993), 231-8.
6. Y. G. Lu, Convergence of the viscosity method for some nonlinear hyperbolic system. Proc. Roy. Soc. Edinburgh Ser. A 124 (1994), 341-52.
7. Y. G. Lu, The Cauchy problem for a hyperbolic model. Nonlinear Anal. TMA, 23 (1994), 1135-44.
8. A. Majda, A qualitative model for dynamic combustion. SIAM J. Appl. Math. 41 (1981), 79-93.
9. H. K. Rhee, R. Aris and N. R. Amundsen. First Order Partial Differential Equations, Vol. I, Vol. II (New York: Prentice Hall, 1986, 1989).
10. A. Tveito and R. Winther. On the rate of convergence to equilibrium for a system of conservation laws including a relaxation term (Preprint 1994-1, University of Oslo 1994).
11. L. Tartar. Compensated compactness and applications to partial differential equations. In Nonlinear Analysis and Mechanics, Heriot Watt Symposium, ed. R. J. Knops, Pitman Research Notes in Mathematics 39, pp. 139-211 (Harlow: Longman, 1979).