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The existence of global generalized solutions of the equations of one-dimensional motion of a real viscous gas with discontinuous data

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References

  1. Antontsev, S.N., Kazhikhov, A.V., and Monakhov, V.N.,Kraevye zadachi mekhaniki neodnorodnykh zhidkostei (Boundary Value Problems of Mechanics of Inhomogeneous Fluids), Novosibirsk, 1983.

  2. Zlotnik, A.A. and Amosov, A.A.,Dokl. RAN, 1998, vol. 362, no. 5, pp. 590–594.

    MATH  MathSciNet  Google Scholar 

  3. Amosov, A.A. and Zlotnik, A.A.,Izv. Vyssh. Uchebn. Zaved. Matematika, 1997, no. 4, pp. 3–19.

  4. Zlotnik, A.A. and Amosov, A.A.,Sib. Mat. Zh., 1997, vol. 38, no. 4, pp. 767–789.

    MATH  MathSciNet  Google Scholar 

  5. Shelukhin, V.V., inDinamika sploshnoi sredy (Continuum Dynamics), Novosibirsk, 1982, issue 57, pp. 131–152.

  6. Serre, D.,C.R. Acad. Sc. Paris. Ser. I, 1986, vol. 303, no. 14, pp. 703–706.

    MATH  MathSciNet  Google Scholar 

  7. Amosov, A.A. and Zlotnik, A.A.,Dokl. Akad. Nauk SSSR, 1988, vol. 301, no. 1, pp. 11–15.

    MathSciNet  Google Scholar 

  8. Amosov, A.A. and Zlotnik, A.A.,Mat. Zarnetki, 1992, vol. 52, no. 2, pp. 3–16.

    MathSciNet  Google Scholar 

  9. Kawohl, B.,J. Diff. Equat, 1985, vol. 58, pp. 76–103.

    Article  MATH  MathSciNet  Google Scholar 

  10. Okada, M. and Kawashima, S.,J. Math. Kyoto Univ., 1983, vol. 23, pp. 55–71.

    MATH  MathSciNet  Google Scholar 

  11. Jiang Song,J. Diff. Equal, 1994, vol. 110, pp. 157–181.

    Article  MATH  Google Scholar 

  12. Luo, T.,Acta Math. New Ser., 1995, vol. 11, pp. 205–214.

    Google Scholar 

  13. Jiang Song,Math. Nachr., 1998, vol. 190, pp. 169–183.

    Article  MATH  MathSciNet  Google Scholar 

  14. Hoff, D.,J. Diff. Equal, 1992, vol. 95, pp. 33–74.

    Article  MATH  MathSciNet  Google Scholar 

  15. Dafermos, C.M.,SIAM J. Math. Analysis, 1982, vol. 13, pp. 397–408.

    Article  MATH  MathSciNet  Google Scholar 

  16. Dafermos, C.M. and Hsiao, L.,Nonlinear Analysis, Theory, Methods and Applications, 1982, vol. 6, no. 5, pp. 435–454.

    Article  MATH  MathSciNet  Google Scholar 

  17. Kim, J.U.,Ann. Scuola Norm. Sup. Piza, 1983, vol. 10, no. 3, pp. 357–427.

    MATH  Google Scholar 

  18. Zheng, S. and Shen, W.,J. Part. Diff. Equal, 1989, vol. 2, pp. 26–38.

    MATH  MathSciNet  Google Scholar 

  19. Jiang Song,Quart. Appl. Math., 1993, vol. 51, no. 4, pp. 731–744.

    MATH  MathSciNet  Google Scholar 

  20. Amosov, A.A. and Zlotnik, A.A.,Differents. Uravn., 1994, vol. 30, no. 4, pp. 596–608.

    MathSciNet  Google Scholar 

  21. Amosov, A.A. and Zlotnik, A.A.,Vestn. MÉI, 1994, no. 4, pp. 7–24.

  22. Amosov, A.A. and Zlotnik, A.A.,Russian J. Numer. Math. Math. Modell., 1997, vol. 12, no. 3, pp. 171–197.

    Article  MATH  MathSciNet  Google Scholar 

  23. Filippov, A.M.,Differentsial’nye uravneniya s razryvnoi pravoi chast’yu (Differential Equations with Discontinuous Right-Hand Side), Moscow, 1985.

  24. Stein, O.M.,Ann. Math., 1957, vol. 65, pp. 582–592.

    Article  Google Scholar 

  25. Tikhomirov, V.M.,Nekotorye voprosy teorii priblizhenii (Some Problems of Theory of Approximations), Moscow, 1976.

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  1. Moscow Power Engineering Institute, Technical University, Moscow, Russia

    A. A. Amosov

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  1. A. A. Amosov
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Amosov, A.A. The existence of global generalized solutions of the equations of one-dimensional motion of a real viscous gas with discontinuous data. Diff Equat 36, 540–558 (2000). https://doi.org/10.1007/BF02754249

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