Geodesic
Study of spectral characteristics of a homogeneous turbulent flow
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 2, pp. 304-311

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A spectral representation of kinetic energy for a vortex cascade of instability in a compressible inviscid shear flow is considered, and the Rayleigh–Taylor instability is studied. A comparative analysis is given to the spectral decompositions of kinetic energy for both problems. The classical Kolmogorov $-5/3$ power law is proved to hold for developed turbulent flows. 
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     author = {O. M. Belotserkovskii and S. V. Fortova},
     title = {Study of spectral characteristics of a homogeneous turbulent flow},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {304--311},
     publisher = {mathdoc},
     volume = {52},
     number = {2},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_2_a12/}
}
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O. M. Belotserkovskii; S. V. Fortova. Study of spectral characteristics of a homogeneous turbulent flow. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 2, pp. 304-311. http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_2_a12/