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Limites des equations d’un fluide compressible lorsque la compressibilite tend vers zero

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Références

  1. EBIN D.: The motion of sslighty compressible fluide vewed as a motion with strong constraining force. Annals of mathematics 105 (1977) 141.200.

    CrossRef  Google Scholar 

  2. FRIEDMAN A.: Partial Differential equation of parabolic type-Prince-Hall, Inc. (1964).

    Google Scholar 

  3. ITAYA N.: On the Cauchy problem for the system of fondamental equations describing the movement of compressible viscous fluid-Kodai Math. Sem. Rep. 23 (1971) 60–120.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. ITAYA N.: On the initial value problem of the motion of compressible viscous fluid, especially on the problem of uniqueness-J. Math. Kyoto Univ. 16 (1976), 413–427.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. ITAYA N.: A survey on the generalized Burger’s equation with a pressure model term-J. Math. Kyoto Univ., 16 (1976) 1–18.

    CrossRef  MathSciNet  MATH  Google Scholar 

  6. ITAYA N.: A survey of two model equations for compressible viscous fluid (to appear).

    Google Scholar 

  7. KANEL Ya.I: On a model system of equations for one dimensional gas motion-Diff. eq. (in Russian) 8 (1968) 21–734.

    Google Scholar 

  8. KATO T.: Linear evolution equations of hyperbolic type-J. Fac. Sci. Univ. Tokyo, 17 (1970) 241–258.

    MathSciNet  MATH  Google Scholar 

  9. KAZHYKOV A.V.: Sur la solubilité globale du problème monodimensionnel aux valeurs initiales limitées pour les équations du gaz visqueux et calorifique-CR Accord Sci. Paris 284 (1977) Ser. A 317.

    ADS  Google Scholar 

  10. KAZHYKOV A.V. and SELUKNIN V.V.: Unique global solution in times of initial boundary value problems for one dimensional equations of a viscous gas P. M. M. Vol. 41, no 2 (1977) Novosibirsk.

    Google Scholar 

  11. LADYZHENSKAYA O.A.: The mathematical theorie of viscous incompressible flow. Gordon and Breach (2 edition) (1969).

    Google Scholar 

  12. LIONS J.L.: Quelques méthodes de résolution des problèmes aux limites non linéaires-Dunod (1969).

    Google Scholar 

  13. LIONS J.L. et MAGENES E.: Problèmes aux limites non homogènes-Volume 1-Dunod (1968) Paris.

    Google Scholar 

  14. NASH J.: Le problème de Cauchy pour les équations différentielles d’un fluide général. Bull. Sic. Math. France 90 (1962) 487–497.

    CrossRef  MATH  Google Scholar 

  15. NISHIDA T. et MATSUMURA A.: The initial value problem for the equations of motion of viscous and heat concluctive gase. A paraître.

    Google Scholar 

  16. TANI: On the initial value problem for the system of fundamental equations describing the movement of compressible viscous fluid. Preprint.

    Google Scholar 

  17. TEMAM R.: The evolution Navier-Stokes equations-North Holland-Page 427–443.

    Google Scholar 

  18. KLAINERMAN S. et MAJDA A.: Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids-CPAM-vol. XXXIV-481–524 (1981).

    ADS  MathSciNet  MATH  Google Scholar 

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© 1984 Springer-Verlag

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Lagha-Benabdallah, A. (1984). Limites des equations d’un fluide compressible lorsque la compressibilite tend vers zero. In: Beirão da Veiga, H. (eds) Fluid Dynamics. Lecture Notes in Mathematics, vol 1047. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0072329

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  • DOI: https://doi.org/10.1007/BFb0072329

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