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Application of differential constraints to the analysis of turbulence models

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References

  1. N. N. Yanenko, in Proceedings of IV All-Union Mathematical Conference (Nauka, Leningrad, 1964), Vol. 2.

    Google Scholar 

  2. A. F. Sidorov, V. P. Shapeev, and N. N. Yanenko, Methods of Differential Relations and Its Application in Gas Dynamics (Nauka, Novosibirsk, 1984).

    Google Scholar 

  3. B. B. Ilyushin, in Closure Strategies for Turbulent and Transition Flows (Cambridge Univ. Press, Cambridge, 1999).

    Google Scholar 

  4. K. Hanjalic and B. E. Launder, J. Fluid Mech. 52, 609 (1972).

    ADS  Google Scholar 

  5. B. B. Ilyushin, Prikl. Mekh. Tekh. Fiz. 40(5), 106 (1999).

    MATH  Google Scholar 

  6. G. I. Barenblatt, Cambridge Texts in Applied Mathematics, Vol. 14: Sealing, Self-Similarity, and Intermediate Asymptotics (Cambridge Univ. Press, Cambridge, 1996).

    Google Scholar 

  7. N. V. Aleksenko, V. I. Bukreev, and V. A. Kostomakha, Prikl. Mekh. Tekh. Fiz., No. 1 (149), 57 (1985).

  8. J. Hulshof, J. Math. Anal. Appl. 28(1), 33 (1997).

    MATH  MathSciNet  Google Scholar 

  9. A. A. Samarskii, V. A. Galaktionov, S. P. Kurdumov, and A. P. Mikhailov, Blow-up in Quasilinear Parabolic Equations (Walter de Gruyter, Berlin, 1995).

    Google Scholar 

  10. P. Ya. Polubarinova-Kochina, Dokl. Akad. Nauk SSSR 63, 623 (1948).

    Google Scholar 

  11. G. I. Barenblatt, Prikl. Mat. Mekh. 16, 67 (1952).

    MATH  MathSciNet  Google Scholar 

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Translated from Doklady Akademii Nauk, Vol. 374, No. 6, 2000, pp. 761–764.

Original Russian Text Copyright © 2000 by Grebenev, Ilyushin.

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Grebenev, V.N., Ilyushin, B.B. Application of differential constraints to the analysis of turbulence models. Dokl. Phys. 45, 550–553 (2000). https://doi.org/10.1134/1.1327329

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