Well posedness of balance laws with boundary

Journal of Mathematical Analysis and Applications

Volumn 311, Issue 2, 2005, Pages 683-702

  Colombo, Rinaldo M ^a   Rosini, Massimiliano D ^a  

^a UNIVERSITY OF BRESCIA   (Italy)

Author keywords

Balance laws; Initial boundary value problem for conservation laws

Indexed keywords

EID: 25144502323     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmaa.2005.03.008     Document Type: Article

References (21)

1. D. Amadori R.M. Colombo Continuous dependence for 2 × 2 conservation laws with boundary J. Differential Equations 138 1997 229-266
2. D. Amadori L. Gosse G. Guerra Global BV entropy solutions and uniqueness for hyperbolic systems of balance laws Arch. Ration. Mech. Anal. 162 2002 327-366
3. A. Aw M. Rascle Resurrection of "second order" models of traffic flow SIAM J. Appl. Math. 60 2000 916-938 (electronic)
4. P. Bagnerini, R.M. Colombo, A. Corli, On the role of source terms in continuum traffic flow models, preprint, 2005
5. P. Baiti A. Bressan The semigroup generated by a Temple class system with large data Differential Integral Equations 10 1997 401-418
6. S. Bianchini The semigroup generated by a Temple class system with non-convex flux function Differential Integral Equations 13 2000 1529-1550
7. A. Bressan Hyperbolic Systems of Conservation Laws: The One-Dimensional Cauchy Problem Oxford Lecture Series in Mathematics and Its Applications vol. 20 2000 Oxford Univ. Press Oxford
8. A. Bressan R.M. Colombo The semigroup generated by 2 × 2 conservation laws Arch. Ration. Mech. Anal. 133 1995 1-75
9. R.M. Colombo A 2 × 2 hyperbolic traffic flow model Math. Comput. Modelling 35 2002 683-688 Traffic flow - modelling and simulation
10. R.M. Colombo Hyperbolic phase transitions in traffic flow SIAM J. Appl. Math. 63 2002 708-721
11. R.M. Colombo Wave front tracking in systems of conservation laws Appl. Math. 49 2004 501-537 course delivered at the school Mathematical Theory in Fluid Mechanics
12. R.M. Colombo A. Corli On a class of hyperbolic balance laws J. Hyperbolic Differential Equations 1 2004 725-745
13. R.M. Colombo A. Groli On the initial boundary value problem for Temple systems Nonlinear Anal. 56 2004 569-589
14. R.M. Colombo N.H. Risebro Continuous dependence in the large for some equations of gas dynamics Comm. Partial Differential Equations 23 1998 1693-1718
15. G. Crasta B. Piccoli Viscosity solutions and uniqueness for systems of inhomogeneous balance laws Discrete Contin. Dyn. Syst. 3 1997 477-502
16. C.M. Dafermos Hyperbolic Conservation Laws in Continuum Physics Grundlehren der Mathematischen Wissenschaften (Fundamental Principles of Mathematical Sciences) vol. 325 2000 Springer-Verlag Berlin
17. F. Dubois P. Lefloch Boundary conditions for nonlinear hyperbolic systems of conservation laws J. Differential Equations 71 1988 93-122
18. A.F. Filippov Differential Equations with Discontinuous Righthand Sides 1988 Kluwer Academic Dordrecht
19. D. Hoff Invariant regions for systems of conservation laws Trans. Amer. Math. Soc. 289 1985 591-610
20. M. Nagumo Über die Lage der Integralkurven gewöhnlicher Differentialgleichungen Proc. Phys.-Math. Soc. Japan (3) 24 1942 551-559
21. D. Serre Solutions à variations bornées pour certains systèmes hyperboliques de lois de conservation J. Differential Equations 68 1987 137-168