References
F. Bouchut, Adv. Kinet. Theory and Comput. Ser. Adv. Math. Appl. Sci. 22, 171–190 (1994).
V. G. Danilov and V. M. Shelkovich, Am. Math. Soc. Trans. Ser. 208, 33–165 (2003).
V. G. Danilov and V. M. Shelkovich, in Hyperbolic Problems: Theory, Numerics, Applications: Proceedings of IX International Conference on Hyperbolic Problems, Pasadena, 2002 (Springer, Berlin, 2003), pp. 483–492.
V. G. Danilov and V. M. Shelkovich, Dokl. Akad. Nauk 394, 10–14 (2004) [Dokl. Math. 69, 4–8 (2004)].
V. G. Danilov and V. M. Shelkovich, Quart. Appl. Math. 63, 401–427 (2005).
V. G. Danilov and V. M. Shelkovich, J. Differ. Equations 211, 333–381 (2005).
E. Weinan, Yu. Rykov, and Ya. G. Sinai, Commun. Math. Phys 177, 349–380 (1996).
B. L. Keyfitz and H. C. Kranzer, J. Differ. Equations 118, 420–451 (1995).
V. M. Shelkovich, in Patterns and Waves (Akad. Print, St. Petersburg, 2003), pp. 155–168.
V. M. Shelkovich, Proceedings of International Seminar Days on Diffraction 2004, June 29–July 2, 2004, St. Petersburg (St. Petersburg, 2004), pp. 175–196.
V. M. Shelkovich, Preprint Conservation Laws, No. 2003-059; http://www.math.ntnu.no/conservation/2003/059.html.
Yang Hanchun, J. Differ. Equations 159, 447–484 (1999).
Author information
Authors and Affiliations
Additional information
Original Russian Text © E.Yu. Panov, V.M. Shelkovich, 2006, published in Doklady Akademii Nauk, 2006, Vol. 407, No. 5, pp. 595–599.
Rights and permissions
About this article
Cite this article
Panov, E.Y., Shelkovich, V.M. δ′-shock waves as a new type of singular solutions to hyperbolic systems of conservation laws. Dokl. Math. 73, 264–268 (2006). https://doi.org/10.1134/S106456240602030X
Received:
Issue Date:
DOI: https://doi.org/10.1134/S106456240602030X