Article Dans Une Revue Archive for Rational Mechanics and Analysis Année : 2023

WEAK AND STRONG VERSIONS OF THE KOLMOGOROV 4/5-LAW FOR STOCHASTIC BURGERS EQUATION

Résumé

For solutions of the space-periodic stochastic 1d Burgers equation we establish two versions of the Kolmogorov 4/5-law; this provides an asymptotic expansion for the third moment of increments of turbulent velocity fields. We also prove for this equation an analogy of the Landau objection to possible universality of Kolmogorov’s theory of turbulence, and show that the third moment is the only one which admits a universal asymptotic expansion.

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Dates et versions

hal-03822062 , version 1 (20-10-2022)
hal-03822062 , version 2 (16-12-2022)
hal-03822062 , version 3 (19-02-2024)

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Peng Gao, Sergei Kuksin. WEAK AND STRONG VERSIONS OF THE KOLMOGOROV 4/5-LAW FOR STOCHASTIC BURGERS EQUATION. Archive for Rational Mechanics and Analysis, 2023, 247 (6), ⟨10.1007/s00205-023-01940-2⟩. ⟨hal-03822062v3⟩

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