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Renormalization group in the theory of fully developed turbulence. Composite operators of canonical dimension 8

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Renormalization and critical dimensions of the family of Galilean invariant scalar composite operators of canonical dimension eight are considered within the framework of the renormalization group approach to the stochastic theory of fully developed turbulence.

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References

  1. A. S. Monin and A. M. Yaglom,Statistical Hydromechanics, Vol. 2, Nauka, Moscow (1967).

    Google Scholar 

  2. W. D. McComb,The Physics of Fluid Turbulence, Clarendon, Oxford (1990).

    Google Scholar 

  3. L. Ts. Adzhemyan, N. V. Antonov, and A. N. Vasiliev,Zh. Eksp. Teor. Fiz.,95, 1272–1288 (1989).

    Google Scholar 

  4. C. De Dominicis and P. C. Martin,Phys. Rev.,A29, 419–422 (1979).

    Google Scholar 

  5. R. A. Antonia, B. R. Satyaprakash, and A. Hussain,J. Fluid Mech.,119, 55–89 (1982); F. Anselmet, Y. Gagne, E. Hopfinger, and R. A. Antonia,J. Fluid Mech.,140, 63–89 (1984); R. A. Antonia, E. Hopfinger, Y. Gagne, and F. Anselmet,Phys. Rev.,A30, 2704–2707 (1984).

    Google Scholar 

  6. V. P. Kuznetsov and V. A. Sabelnikov,Turbulence and Combustion, Nauka, Moscow (1986); V. P. Kuznetsov, A. A. Praskovsky and V. A. Sabelnikov,Izv. Akad. Nauk SSSR, Ser. Mekh. Zhidk. Gaza, No. 6, 51–59 (1988).

  7. L. Ts. Adzhemyan, A. N. Vasiliev and Yu. M. Pismak,Teor. Mat. Fiz.,57, 268–281 (1983).

    Google Scholar 

  8. L. Ts. Adzhemyan, A. N. Vasiliev and M. Gnatich,Teor. Mat. Fiz.,74, 180–191 (1988).

    Google Scholar 

  9. N. V. Antonov,Zap. Nauchn. Sem. LOMI,169, 18–28 (1988).

    Google Scholar 

  10. L. Ts. Adzhemyan, N. V. Antonov, and T. L. Kim,Teor. Mat. Fiz.,100, 382–401 (1994).

    Google Scholar 

  11. N. V. Antonov,Zap. Nauchn. Sem. LOMI,189, 15–23 (1991).

    Google Scholar 

  12. N. V. Antonov,Vestn. SPb Gos. Univ., Fiz. Khim., No. 3 (No. 18), 3–9 (1992); No. 4 (No. 25), 6–11.

  13. V. Yakhot, Z.-S. She and S. A. Orszag,Phys. Fluids,A1(2), 289–293 (1989).

    Google Scholar 

  14. J. Collins,Renormalization [in Russian], Mir, Moscow (1988).

    Google Scholar 

  15. V. Yakhot and L. M. Smith,J. Sci. Comput.,7, 35–60 (1992).

    Google Scholar 

  16. A. N. Vasiliev,Functional Methods in Quantum Field Theory and Statistics, Leningr. State Univ. Press, Leningrad (1976).

    Google Scholar 

  17. L. Ts. Adzhemyan, N. V. Antonov, A. N. Vasiliev, and M. M. Perekalin,Zap. Nauchn. Sem. LOMI,224 (1995); N. V. Antonov and A. N. Vasiliev, “Renormalization Group in Theory of Developed Turbulence. Problem of Substantiating Komogorov's Hypotheses for Composite Operators,” (to appear inZh. Eksp. Teor. Fiz.).

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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 106, No. 1, pp. 92–101, January, 1996.

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Antonov, N.V., Borisenok, S.V. & Girina, V.I. Renormalization group in the theory of fully developed turbulence. Composite operators of canonical dimension 8. Theor Math Phys 106, 75–83 (1996). https://doi.org/10.1007/BF02070765

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  • DOI: https://doi.org/10.1007/BF02070765

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