On the Zakharov-L'vov stochastic model for wave turbulence

DOI10.1134/S1064562420020106zbMath1479.35783arXiv1907.05044OpenAlexW3043021340MaRDI QIDQ2243715

A. V. Dymov, Sergej B. Kuksin

Publication date: 11 November 2021

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.05044

zbMATH Keywords

nonlinear Schrödinger equationwave turbulenceenergy spectrumstochastic perturbationkinetic limitwave kinetic equation

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Perturbations in context of PDEs (35B20) PDEs with randomness, stochastic partial differential equations (35R60) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (7)

The large-period limit for equations of discrete turbulence ⋮ Deterministic dynamics and randomness in PDE. Abstracts from the workshop held May 22--28, 2022 ⋮ Stability and cascades for the Kolmogorov-Zakharov spectrum of wave turbulence ⋮ Singularities in the weak turbulence regime for the quintic Schrödinger equation ⋮ Feynman rules for forced wave turbulence ⋮ Asymptotic estimates for singular integrals of fractions whose denominators contain products of block quadratic forms ⋮ Stochastic turbulence for Burgers equation driven by cylindrical Lévy process

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• Derivation of a wave kinetic equation from the resonant-averaged stochastic NLS equation
• Statistical Mechanics of Nonequilibrium Liquids
• Wave Turbulence
• The weakly nonlinear large-box limit of the 2D cubic nonlinear Schrödinger equation

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