Linearized wave turbulence convergence results for three-wave systems

DOI10.1007/s00220-020-03799-wzbMath1446.76118arXiv1805.11269OpenAlexW3043349677MaRDI QIDQ2192712

Erwan Faou

Publication date: 17 August 2020

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.11269

zbMATH Keywords

asymptotic limitFourier modeprobabilistic Birkhoff reductionrandom phase forcingRayleigh-Jeans spectrum

Mathematics Subject Classification ID

Statistical turbulence modeling (76F55) Stochastic analysis applied to problems in fluid mechanics (76M35)

Related Items (15)

Formal expansions in stochastic model for wave turbulence. I: Kinetic limit ⋮ Uniqueness of solutions to the spectral hierarchy in kinetic wave turbulence theory ⋮ The large-period limit for equations of discrete turbulence ⋮ A stochastic thermalization of the discrete nonlinear Schrödinger equation ⋮ Full derivation of the wave kinetic equation ⋮ Deterministic dynamics and randomness in PDE. Abstracts from the workshop held May 22--28, 2022 ⋮ Dynamical large deviations for an inhomogeneous wave kinetic theory: linear wave scattering by a random medium ⋮ Stability and cascades for the Kolmogorov-Zakharov spectrum of wave turbulence ⋮ Singularities in the weak turbulence regime for the quintic Schrödinger equation ⋮ On the Zakharov-L'vov stochastic model for wave turbulence ⋮ Multirevolution Integrators for Differential Equations with Fast Stochastic Oscillations ⋮ Onset of the wave turbulence description of the longtime behavior of the nonlinear Schrödinger equation ⋮ On the kinetic wave turbulence description for NLS ⋮ Formal expansions in stochastic model for wave turbulence. II: Method of diagram decomposition ⋮ On the derivation of the wave kinetic equation for NLS

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