Stability of L∞ solutions for hyperbolic systems with coinciding shocks and rarefactions

SIAM Journal on Mathematical Analysis

Volumn 33, Issue 4, 2001, Pages 959-981

  Bianchini, Stefano ^a  

^a SISSA   (Italy)

Author keywords

Conservation laws; Hyperbolic systems; Well posedness

Indexed keywords

EID: 0035555621     PISSN: 00361410     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036141000377900     Document Type: Article

References (28)

1. On the attainable set for scalar nonlinear conservation laws with boundary control
2. Resurrection of "second order" models of traffic flow
3. The semigroup generated by a Temple class system with large data
4. ∞ data
5. The semigroup generated by a Temple class system with non-convex flux function
6. Hyperbolic systems of conservation laws
7. The unique limit of the Glimm scheme
8. Unique solutions for a class of discontinuous differential equations
9. Well posedness of the Cauchy problem for n × n systems of conservation laws
10. The semigroup generated by 2 × 2 conservation laws
11. Oleinik type estimates and uniqueness for n × n conservation laws
12. ∞ solutions of Temple class systems
13. Uniqueness of weak solutions to hyperbolic systems of conservation laws
14. A uniqueness condition for hyperbolic systems of conservation laws
15. 1 stability estimates for n × n conservation laws
16. Uniqueness for discontinuous O.D.E. and conservation laws
17. Convergence of approximate solutions to conservation laws
18. Solutions in the large for nonlinear hyperbolic systems of equations
19. Decay of solutions of systems of nonlinear hyperbolic conservation laws
20. Blowup for systems of conservation laws
21. First-order quasilinear equations with several space variables
22. Hyperbolic systems of conservation laws II
23. ∞ data
24. Solutions à variation bornée pour certains systèmes hyperboliques de lois de conservation
25. Systems of conservation laws with invariant submanifolds