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
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
\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://mathscinet.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{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1995UD33400005}
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https://www.mathnet.ru/eng/tmf1336
https://www.mathnet.ru/eng/tmf/v104/i2/p260
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