- PII
- 10.31857/S2686740023060081-1
- DOI
- 10.31857/S2686740023060081
- Publication type
- Status
- Published
- Authors
- Volume/ Edition
- Volume 513 / Issue number 1
- Pages
- 55-60
- Abstract
- The geometry methods for Yang–Mills fields of the gauge transformations are applied to finding an invariant Lagrangian in fiber bundle of the configuration \(2d\) space \(X\) of the turbulent flow defined by the \(n\)-point probability density function \({{f}_{n}}\) (PDF). The two-dimensional wave optical turbulence is considered in the case of the inverse cascade of energy. The n-point PDF of the vorticity field satisfies the \({{f}_{n}}\)-equation from the Landgren–Monin–Novikov (LMN) hierarchy. The basic result reads: we construct the Lagrangian which is invariant under a subgroup \(H \subset G\) – the group of the gauge transformations in fiber bundles of the space X and the conserved currents.
- Keywords
- оптическая турбулентность калибровочные преобразования уравнения Ландгрена–Монина–Новикова инвариантный лагранжиан
- Date of publication
- 16.09.2025
- Year of publication
- 2025
- Number of purchasers
- 0
- Views
- 13
References
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