×

zbMATH — the first resource for mathematics

On existence and uniqueness of entropy solutions to the Cauchy problem for a conservation law with discontinuous flux. (English) Zbl 1181.35145

MSC:
35L65 Hyperbolic conservation laws
35R05 PDEs with low regular coefficients and/or low regular data
35L45 Initial value problems for first-order hyperbolic systems
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] Mishra A. S., J. Hyperbolic Differential Equations 2 pp 783–
[2] Audusse E., Proc. Royal Soc. Edinburgh A 135 pp 253–
[3] DOI: 10.1080/03605300500358095 · Zbl 1102.35064 · doi:10.1080/03605300500358095
[4] DOI: 10.1016/j.jmaa.2006.02.072 · Zbl 1160.35048 · doi:10.1016/j.jmaa.2006.02.072
[5] DOI: 10.1137/07069314X · Zbl 1201.35022 · doi:10.1137/07069314X
[6] DOI: 10.1016/j.jde.2008.07.036 · Zbl 1195.35211 · doi:10.1016/j.jde.2008.07.036
[7] DOI: 10.1142/S0219891609001794 · Zbl 1180.35305 · doi:10.1142/S0219891609001794
[8] DOI: 10.1007/BF00752112 · Zbl 0616.35055 · doi:10.1007/BF00752112
[9] Eymard R., Chi. Ann. Math. Ser. B 16 pp 1–
[10] Hille E., Functional Analysis and Semi-Groups (1957) · Zbl 0033.06501
[11] Karlsen K. H., Trans. Royal Norwegian Society Sc. Letters (Skr. K. Nor. Vidensk. Selsk.) 3 pp 1–
[12] DOI: 10.1142/S0252959904000299 · Zbl 1112.65085 · doi:10.1142/S0252959904000299
[13] Kruzhkov S. N., Mat. Sbornik 81 pp 228–
[14] DOI: 10.1080/03605309508821159 · Zbl 0836.35090 · doi:10.1080/03605309508821159
[15] Kruzhkov S. N., Dokl. Akad. Nauk SSSR 314 pp 79–
[16] Kruzhkov S. N., Ann. Univ. Ferrara, Nuova Ser. Sez. VII 40 pp 31–
[17] Panov E. Y., Vestnik Mosk. Univ. Ser. 1 Mat. Mekh. 48 pp 20–
[18] DOI: 10.4213/im73 · doi:10.4213/im73
[19] DOI: 10.1142/S0219891607001343 · Zbl 1144.35037 · doi:10.1142/S0219891607001343
[20] Panov E. Y., Arch. Ration. Mech. Anal.
[21] DOI: 10.1142/S0218202503002477 · Zbl 1078.35011 · doi:10.1142/S0218202503002477
[22] DOI: 10.1137/S0036142999363668 · Zbl 0972.65060 · doi:10.1137/S0036142999363668
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.