Formal expansions in stochastic model for wave turbulence. I: Kinetic limit

DOI10.1007/s00220-021-03955-wzbMath1482.35211arXiv1907.04531OpenAlexW3130137680MaRDI QIDQ2662851

A. V. Dymov, Sergej B. Kuksin

Publication date: 15 April 2021

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

Full work available at URL: https://arxiv.org/abs/1907.04531

zbMATH Keywords

wave turbulence

Mathematics Subject Classification ID

Statistical turbulence modeling (76F55) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Stochastic analysis applied to problems in fluid mechanics (76M35) Wave equation (35L05) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs with randomness, stochastic partial differential equations (35R60) Time-dependent Schrödinger equations and Dirac equations (35Q41)

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The large-period limit for equations of discrete turbulence ⋮ Wave turbulence and thermalization in one-dimensional chains ⋮ Deterministic dynamics and randomness in PDE. Abstracts from the workshop held May 22--28, 2022 ⋮ A refinement of Heath-Brown's theorem on quadratic forms ⋮ Singularities in the weak turbulence regime for the quintic Schrödinger equation ⋮ Asymptotic expansions for a class of singular integrals emerging in non-linear wave systems ⋮ Formal expansions in stochastic model for wave turbulence. II: Method of diagram decomposition

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