Geodesic
The corrections to fully developed turbulent spectra due to the compressibility of fluid
Teoretičeskaâ i matematičeskaâ fizika, Tome 106 (1996) no. 3, pp. 375-389

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We construct the regular expansion at small compressibility for the theory of fully developed turbulence of isotropic homogeneous compressible fluid with the action of MSR-type. The parameter of the expansion is the Mach number \hbox Ma. In the inertial range (of compressible fluid) the infrared peculiarities determined by the transversal fields (used in the theory of incompressible fluid) are studied. These peculiarities are connected with the composite operators of transversal fields, which are investigated by the quantum-field renormalization group method. As a result, it is shown that the transversal fields induce the scaling behavior in the theory proposed with the scaling dimension of \hbox Ma equal to 1/3 (i.e., $\hbox {\rm Ma}\,k^{-1/3}$ is the scaling dimensionless parameter of the correlation functions in the inertial range). 
@article{TMF_1996_106_3_a1,
     author = {D. Yu. Volchenckov and M. Yu. Nalimov},
     title = {The corrections to fully developed turbulent spectra due to the compressibility of fluid},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {375--389},
     publisher = {mathdoc},
     volume = {106},
     number = {3},
     year = {1996},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1996_106_3_a1/}
}
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D. Yu. Volchenckov; M. Yu. Nalimov. The corrections to fully developed turbulent spectra due to the compressibility of fluid. Teoretičeskaâ i matematičeskaâ fizika, Tome 106 (1996) no. 3, pp. 375-389. http://geodesic.mathdoc.fr/item/TMF_1996_106_3_a1/