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δ′-shock waves as a new type of singular solutions to hyperbolic systems of conservation laws

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References

  1. F. Bouchut, Adv. Kinet. Theory and Comput. Ser. Adv. Math. Appl. Sci. 22, 171–190 (1994).

    MATH  MathSciNet  Google Scholar 

  2. V. G. Danilov and V. M. Shelkovich, Am. Math. Soc. Trans. Ser. 208, 33–165 (2003).

    MathSciNet  Google Scholar 

  3. 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.

    Google Scholar 

  4. V. G. Danilov and V. M. Shelkovich, Dokl. Akad. Nauk 394, 10–14 (2004) [Dokl. Math. 69, 4–8 (2004)].

    MathSciNet  Google Scholar 

  5. V. G. Danilov and V. M. Shelkovich, Quart. Appl. Math. 63, 401–427 (2005).

    MathSciNet  Google Scholar 

  6. V. G. Danilov and V. M. Shelkovich, J. Differ. Equations 211, 333–381 (2005).

    Article  MathSciNet  Google Scholar 

  7. E. Weinan, Yu. Rykov, and Ya. G. Sinai, Commun. Math. Phys 177, 349–380 (1996).

    Article  MathSciNet  Google Scholar 

  8. B. L. Keyfitz and H. C. Kranzer, J. Differ. Equations 118, 420–451 (1995).

    Article  MathSciNet  Google Scholar 

  9. V. M. Shelkovich, in Patterns and Waves (Akad. Print, St. Petersburg, 2003), pp. 155–168.

    Google Scholar 

  10. V. M. Shelkovich, Proceedings of International Seminar Days on Diffraction 2004, June 29–July 2, 2004, St. Petersburg (St. Petersburg, 2004), pp. 175–196.

  11. V. M. Shelkovich, Preprint Conservation Laws, No. 2003-059; http://www.math.ntnu.no/conservation/2003/059.html.

  12. Yang Hanchun, J. Differ. Equations 159, 447–484 (1999).

    Article  Google Scholar 

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Original Russian Text © E.Yu. Panov, V.M. Shelkovich, 2006, published in Doklady Akademii Nauk, 2006, Vol. 407, No. 5, pp. 595–599.

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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

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