Existence and uniqueness of discontinuous solutions for a hyperbolic system

Royal Society of Edinburgh - Proceedings A

Volumn 127, Issue 6, 1997, Pages 1193-1205

  Huang, Feimin ^a,b  

^a SHANTOU UNIVERSITY   (China)

^b INSTITUTE OF APPLIED MATHEMATICS   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21944452444     PISSN: 03082105     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0308210500027013     Document Type: Article

References (11)

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3. A. Forestier and P. LeFloch. Multivalued solutions to some non-linear and non-strictly hyperbolic systems. Japan. J. Indust. Appl. Math. 9 0 (1992), 1-23.
4. xx. Comm. Pure Appl. Math. 3 (1950), 201-30.
5. F. Huang. Existence and uniqueness of discontinuous solutions for a class of nonstrictly hyperbolic systems (in prep.).
6. F. Huang, C. Li and Z. Wang. Solutions containing delta-waves of Cauchy problems for a nonstrictly hyperbolic system. Acta Mathematicae Applicatae Sinica 11 (1995), 429-46.
7. P. Lax. Hyperbolic systems of conservation laws, II. Comm. Pure Appl. Math. 10 (1957), 537-66.
8. C. Li and X. Yang. Riemann problems of a class of non-strictly hyperbolic equations (Preprint 19, Institute of Mathematics, Shantou University, 1994).
9. O. Oleinik. Discontinuous solutions of nonlinear differential equations. Usp. Math. Nauk (N.S.) 12 (1957), 3-73;
10. English translation: Amer. Math. Soc. Transl. Ser. 2 26 (1963), 95-172.
11. D. Tan, T. Zheng and Y. Zhang. Delta-shock wave as limits of vanishing viscosity for hyperbolic systems of conservation laws. J. Differential Equations 112 (1994), 1-32.