Measure solutions to a strictly hyperbolic system of conservation laws

Nonlinearity

Volumn 9, Issue 6, 1996, Pages 1547-1563

  Hayes, Brian T ^a   LeFloch, Philippe G ^b  

^a UNIVERSITY OF SOUTHERN CALIFORNIA   (United States)

^b CENTRE DE MATHÉMATIQUES APPLIQUÉES   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0002338443     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/9/6/009     Document Type: Article

References (12)

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2. Brio M and Rosenau P 1996 Evolution and stability of the MHD fast-intermediate shock wave Con. Appl. Math at press
3. Cheng Y-F and Brio M 1996 The structure of the shock waves in an asymptotic magnetohydrodynamic system Preprint
4. Dal Maso G, LeFloch P G and Murat F 1995 Definition and weak stability of nonconservative products J. Math. Pure Appl. 74 483-548
5. Keyfitz B and Kranzer H C 1988 A viscosity approximation to a system of conservation laws with no classical Riemann solution Proc. Int. Conf. on Hyperbolic Problems (Bordeaux, 1988) pp 185-197
6. Keyfitz B and Kranzer H C 1990 A strictly hyperbolic system of conservation laws admitting singular shocks Nonlinear Evolution Equations That Change Type (IMA Vol. Math. Appl.) 27 ed B Keyfitz and M Shearer 107-125 (Berlin: Springer)
7. Korchinski C 1977 Solution of a Riemann problem for a 2 x 2 system of conservation laws possessing no classical weak solution PhD Thesis Adelphi University
8. Lax P D 1957 Hyperbolic systems of conservation laws II Comm. Pures Appl. Math. 10 537-566
9. Lax P D 1973 Hyperbolic systems of Conservation Laws and the Mathematical Theory of Shock Waves SIAM, CBMS 11
10. LeFloch P G 1990 An existence and uniqueness result for two nonstrictly hyperbolic systems Nonlinear Evolution Equations That Change Type (IMA Vol. Math. Appl) 27 ed B Keyfitz and M Shearer 126-138 (Berlin: Springer)
11. Tan D, Zhang T and Zheng Y 1994 Delta-shock waves of hyperbolic systems of conservation laws as limits of vanishing viscosity J. Diff. Eqns. 112 1-32
12. Volpert A I 1967 The space BV and quasilinear equations Math. USSR Sbornik 73 225-267