Resonant averaging for small-amplitude solutions of stochastic nonlinear Schrödinger equations

DOI10.1017/S0308210517000233zbMath1391.35437arXiv1311.6793MaRDI QIDQ4608914

Alberto Mario Maiocchi, Sergej B. Kuksin

Publication date: 29 March 2018

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.6793

zbMATH Keywords

effective equationNLS equationweak turbulencestochastic PDEsaveraging theorem

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (6)

Long-time dynamics of resonant weakly nonlinear CGL equations ⋮ Nonequilibrium statistical mechanics of weakly stochastically perturbed system of oscillators ⋮ Derivation of a wave kinetic equation from the resonant-averaged stochastic NLS equation ⋮ Averaging and mixing for stochastic perturbations of linear conservative systems ⋮ Nonequilibrium statistical mechanics of a solid immersed in a continuum ⋮ Averaging Principle for Complex Ginzburg--Landau Equation Perturbated by Mixing Random Forces

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