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 TMF, 1995, Volume 104, Number 2, Pages 260–270 (Mi tmf1336)

Renormalization-group approach to the problem of the effect of compressibility on the spectral properties of developed turbulence

L. Ts. Adzhemyan, M. Yu. Nalimov, M. M. Stepanova

Saint-Petersburg State University

Abstract: Using the renormalization group technique, the spectra of the developed turbulence of a compressible liquid are investigated for the case of small Mach numbers. Composite operators are found that determine corrections to the spectra due to compressibility. Renormalization of these operators is studied and corresponding critical dimensions are obtained. The corrections are proved to be independent of viscosity in the inertial range as in the case of an incompressible

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English version:
Theoretical and Mathematical Physics, 1995, 104:2, 971–979

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Citation: L. Ts. Adzhemyan, M. Yu. Nalimov, M. M. Stepanova, “Renormalization-group approach to the problem of the effect of compressibility on the spectral properties of developed turbulence”, TMF, 104:2 (1995), 260–270; Theoret. and Math. Phys., 104:2 (1995), 971–979

Citation in format AMSBIB
\Bibitem{AdzNalSte95} \by L.~Ts.~Adzhemyan, M.~Yu.~Nalimov, M.~M.~Stepanova \paper Renormalization-group approach to the problem of the effect of compressibility on the spectral properties of developed turbulence \jour TMF \yr 1995 \vol 104 \issue 2 \pages 260--270 \mathnet{http://mi.mathnet.ru/tmf1336} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=1488674} \zmath{https://zbmath.org/?q=an:0857.76039} \transl \jour Theoret. and Math. Phys. \yr 1995 \vol 104 \issue 2 \pages 971--979 \crossref{https://doi.org/10.1007/BF02065977} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1995UD33400005} 

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Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. D. Yu. Volchenckov, M. Yu. Nalimov, “The corrections to fully developed turbulent spectra due to the compressibility of fluid”, Theoret. and Math. Phys., 106:3 (1996), 307–318
2. Adzhemyan L.T., Antonov N.V., Vasilev A.N., “Quantum field renormalisation group in the theory of developed turbulence”, Uspekhi Fizicheskikh Nauk, 166:12 (1996), 1257–1284
3. N. V. Antonov, M. Yu. Nalimov, A. A. Udalov, “Renormalization group in the problem of the fully developed turbulence of a compresible fluid”, Theoret. and Math. Phys., 110:3 (1997), 305–315
4. Antonov, NV, “Influence of compressibility on scaling regimes of strongly anisotropic fully developed turbulence”, Physical Review E, 60:4 (1999), 4043
5. Volchenkov, D, “Renormalization group and instantons in stochastic nonlinear dynamics”, European Physical Journal-Special Topics, 170 (2009), 1
6. Antonov N.V. Kostenko M.M., “Anomalous Scaling of Passive Scalar Fields Advected By the Navier–Stokes Velocity Ensemble: Effects of Strong Compressibility and Large-Scale Anisotropy”, Phys. Rev. E, 90:6 (2014), 063016
7. Antonov N.V. Kostenko M.M., “Anomalous Scaling in Magnetohydrodynamic Turbulence: Effects of Anisotropy and Compressibility in the Kinematic Approximation”, Phys. Rev. E, 92:5 (2015), 053013
8. Pharasi H.K., Bhattacharjee J.K., “Dynamic Scaling and Large Scale Effects in Turbulence in Compressible Stratified Fluid”, Phys. Lett. A, 380:1-2 (2016), 222–226
9. Antonov N.V. Gulitskiy N.M. Kostenko M.M. Lucivjansky T., “Turbulent compressible fluid: Renormalization group analysis, scaling regimes, and anomalous scaling of advected scalar fields”, Phys. Rev. E, 95:3 (2017), 033120
10. Honkonen J., Lucivjansky T., Skultety V., “Influence of Turbulent Mixing on Critical Behavior of Directed Percolation Process: Effect of Compressibility”, Phys. Rev. E, 97:2 (2018), 022123
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