Abstract
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
A. S. Monin and A. M. Yaglom,Statistical Hydromechanics, Vol. 2, Nauka, Moscow (1967).
W. D. McComb,The Physics of Fluid Turbulence, Clarendon, Oxford (1990).
L. Ts. Adzhemyan, N. V. Antonov, and A. N. Vasiliev,Zh. Eksp. Teor. Fiz.,95, 1272–1288 (1989).
C. De Dominicis and P. C. Martin,Phys. Rev.,A29, 419–422 (1979).
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).
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).
L. Ts. Adzhemyan, A. N. Vasiliev and Yu. M. Pismak,Teor. Mat. Fiz.,57, 268–281 (1983).
L. Ts. Adzhemyan, A. N. Vasiliev and M. Gnatich,Teor. Mat. Fiz.,74, 180–191 (1988).
N. V. Antonov,Zap. Nauchn. Sem. LOMI,169, 18–28 (1988).
L. Ts. Adzhemyan, N. V. Antonov, and T. L. Kim,Teor. Mat. Fiz.,100, 382–401 (1994).
N. V. Antonov,Zap. Nauchn. Sem. LOMI,189, 15–23 (1991).
N. V. Antonov,Vestn. SPb Gos. Univ., Fiz. Khim., No. 3 (No. 18), 3–9 (1992); No. 4 (No. 25), 6–11.
V. Yakhot, Z.-S. She and S. A. Orszag,Phys. Fluids,A1(2), 289–293 (1989).
J. Collins,Renormalization [in Russian], Mir, Moscow (1988).
V. Yakhot and L. M. Smith,J. Sci. Comput.,7, 35–60 (1992).
A. N. Vasiliev,Functional Methods in Quantum Field Theory and Statistics, Leningr. State Univ. Press, Leningrad (1976).
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