Two-loop calculation of the scaling behavior of two-dimensional forced Navier-Stokes equation

Details Two-loop calculation of the scaling behavior of two-dimensional forced Navier-Stokes equation Two-loop calculation of the scaling behavior of two-dimensional forced Navier-Stokes equation

2002-01-15

arxiv.org/abs/nlin/0201025v1

Nonlinear Sciences

Chaotic Dynamics

RevTeX, 5 pages

Scientific paper

Asymptotic properties of the solution of two-dimensional randomly forced Navier-Stokes equation with long-range correlations of the driving force are analyzed in the two-loop order of perturbation theory with the use of renormalization group. Kolmogorov constant of the energy spectrum is calculated for both the inverse energy cascade and the direct enstrophy cascade in the second order of the $\epsilon$ expansion.

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