RENORMALIZATION-GROUP APPROACH TO THE STOCHASTIC NAVIER–STOKES EQUATION: TWO-LOOP APPROXIMATION

DOI10.1142/S0217979203018193zbMath1073.76046arXivnlin/0207007MaRDI QIDQ5312151

Loran Ts. Adzhemyan, A. N. Vasil'ev, N. V. Antonov, Mikhail V. Kompaniets

Publication date: 30 August 2005

Published in: International Journal of Modern Physics B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0207007

zbMATH Keywords

Fully developed turbulencerenormalization constantultraviolet correction exponent

Mathematics Subject Classification ID

Renormalization and other field-theoretical methods for turbulence (76F30) Statistical solutions of Navier-Stokes and related equations (76D06)

Related Items (8)

Representation of the \(\beta\)-function and anomalous dimensions by nonsingular integrals in models of critical dynamics ⋮ Influence of helicity on the turbulent Prandtl number: two-loop approximation ⋮ Scaling behavior in interacting systems: joint effect of anisotropy and compressibility ⋮ Spatial parity violation and the turbulent magnetic Prandtl number ⋮ Functional renormalization-group approach to decaying turbulence ⋮ Improved \(\varepsilon \) expansion in the theory of turbulence: summation of nearest singularities by inclusion of an infrared irrelevant operator ⋮ Spectral calculations for pressure–velocity and pressure–strain correlations in homogeneous shear turbulence ⋮ Renormalization group in the theory of turbulence: three-loop approximation as \(d \to \infty \)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Renormalization-group approach in the theory of turbulence: The dimensions of composite operators
• Renormalization group in turbulence theory: Exactly solvable Heisenberg model
• Composite operators, operator expansion, and Galilean invariance in the theory of fully developed turbulence. Infrared corrections to Kolmogorov scaling
• Particles and fields in fluid turbulence
• The structure of isotropic turbulence at very high Reynolds numbers
• An interpretation of the Yakhot–Orszag turbulence theory
• Analytical theories of turbulence and the ε expansion
• On the RNG theory of turbulence
• Renormalization group theory for turbulence: Assessment of the Yakhot-Orszag-Smith theory
• Turbulence renormalization group calculations using statistical mechanics methods
• Small-Scale Structure of a Scalar Field Convected by Turbulence

This page was built for publication: RENORMALIZATION-GROUP APPROACH TO THE STOCHASTIC NAVIER–STOKES EQUATION: TWO-LOOP APPROXIMATION