On the use of normal forms in the propagation of random waves

DOI10.1063/1.4905941zbMath1308.76044arXiv1307.0619OpenAlexW2154562042MaRDI QIDQ5178218

Anne-Sophie de Suzzoni

Publication date: 13 March 2015

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

Full work available at URL: https://arxiv.org/abs/1307.0619

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

Related Items (4)

Stability of steady states for Hartree and Schrödinger equations for infinitely many particles ⋮ Singularities in the weak turbulence regime for the quintic Schrödinger equation ⋮ Randomization and the Gross-Pitaevskii hierarchy ⋮ A diffusion result for the Hartree equation around non-localised solutions

Cites Work

• A one-dimensional model for dispersive wave turbulence
• On the Cauchy problem for the Kadomtsev-Petviashvili equation
• On the propagation of weakly nonlinear random dispersive waves
• Existence globale et comportement asymptotique pour l'équation de Klein–Gordon quasi linéaire à données petites en dimension 1
• Normal forms and quadratic nonlinear Klein-Gordon equations
• Unnamed Item

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