Kinetic formulation for heterogeneous scalar conservation laws
Dalibard, Anne-Laure
Annales de l'I.H.P. Analyse non linéaire, Tome 23 (2006), p. 475-498 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU) 
@article{AIHPC_2006__23_4_475_0,
     author = {Dalibard, Anne-Laure},
     title = {Kinetic formulation for heterogeneous scalar conservation laws},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     volume = {23},
     year = {2006},
     pages = {475-498},
     doi = {10.1016/j.anihpc.2005.05.005},
     mrnumber = {2245753},
     zbl = {1102.35066},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIHPC_2006__23_4_475_0}
}

Dalibard, Anne-Laure. Kinetic formulation for heterogeneous scalar conservation laws. Annales de l'I.H.P. Analyse non linéaire, Tome 23 (2006) pp. 475-498. doi : 10.1016/j.anihpc.2005.05.005. http://gdmltest.u-ga.fr/item/AIHPC_2006__23_4_475_0/

[1] Dafermos C.M., Hyperbolic Conservation Laws in Continuum Physics, Grundlehren Math. Wiss., vol. 325, Springer-Verlag, Berlin, 1999. | MR 2169977 | Zbl 0940.35002

[2] Diperna R., Measure-valued solutions to conservation laws, Arch. Rational Mech. Anal. 88 (1985) 223-270. | MR 775191 | Zbl 0616.35055

[3] Kruzkhov S.N., Generalized solutions of the Cauchy problem in the large for nonlinear equations of first order, Soviet Math. Dokl. 10 (1969). | Zbl 0202.37701

[4] Kruzkhov S.N., First order quasilinear equations in several independent variables, Math. USSR-Sb. 10 (1970) 217-243. | Zbl 0215.16203

[5] Lions P.-L., Perthame B., Tadmor E., Formulation cinétique des lois de conservation scalaires multidimensionnelles, C. R. Acad. Sci. Paris, Sér. I 312 (1991) 97-102. | MR 1086510 | Zbl 0729.49007

[6] Lions P.-L., Perthame B., Tadmor E., A kinetic formulation of multidimensional conservation laws and related equations, J. Amer. Math. Soc. 7 (1994) 169-191. | MR 1201239 | Zbl 0820.35094

[7] Perthame B., Kinetic Formulation of Conservation Laws, Oxford Lecture Series in Math. Appl., vol. 21, Oxford University Press, New York, 2002. | MR 2064166 | Zbl 1030.35002

[8] Perthame B., Uniqueness and error estimates in first order quasilinear conservation laws via the kinetic entropy defect measure, J. Math. Pures Appl. 77 (1998) 1055-1064. | MR 1661021 | Zbl 0919.35088

[9] Perthame B., Tadmor E., A kinetic equation with kinetic entropy functions for scalar conservation laws, Comm. Math. Phys. 136 (1991) 501-517. | MR 1099693 | Zbl 0729.76070

[10] Serre D., Systèmes de lois de conservation I et II, Diderot Editeur, Arts et Sciences, 1996. | MR 1459988

[11] Szepessy A., An existence result for scalar conservation laws using measure valued solutions, Comm. Partial Differential Equations 14 (1989) 1329-1349. | MR 1022989 | Zbl 0704.35022