Renormalization group in the theory of developed turbulence. The problem of justifying the Kolmogorov hypotheses for composite operators

DOI10.1007/BF02630373zbMath0919.76036MaRDI QIDQ1280825

N. V. Antonov, A. N. Vasil'ev

Publication date: 2 September 1999

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

critical dimensionoperator expansionscorrelation function of composite operatorsinfinite number of Galilean-invariant scalar operatorsquantum field renormalization groupUV-finite composite operator

Mathematics Subject Classification ID

Stochastic analysis applied to problems in fluid mechanics (76M35) Renormalization group methods applied to problems in quantum field theory (81T17) Turbulence (76F99)

Related Items (3)

Anomalous scaling regimes of a passive scalar advected by the synthetic velocity field ⋮ Directed-bond percolation subjected to synthetic compressible velocity fluctuations: renormalization group approach ⋮ Renormalization group in turbulence theory: Exactly solvable Heisenberg model

Cites Work

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• Renormalization-group approach in the theory of turbulence: Renormalization and critical dimensions of the composite operators of the energy-momentum tensor
• Renormalization group analysis of turbulence. I: Basic theory
• The renormalization group, the \(\epsilon\)-expansion and derivation of turbulence models
• Deviations from the classical Kolmogorov theory of the inertial range of homogeneous turbulence
• Analytical theories of turbulence and the ε expansion
• A comparison of intermittency models in turbulence
• A simple dynamical model of intermittent fully developed turbulence
• Kolmogorov's Hypotheses and Eulerian Turbulence Theory
• The multifractal nature of turbulent energy dissipation

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