On the derivation of the wave kinetic equation for NLS

A fundamental question in wave turbulence theory is to understand how the wave kinetic equation describes the long-time dynamics of its associated nonlinear dispersive equation. Formal derivations in the physics literature, dating back to the work of Peierls in 1928, suggest that such a kinetic desc...

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Bibliographic Details
Main Authors: Yu Deng, Zaher Hani
Format: Article
Language:English
Published: Cambridge University Press 2021-01-01
Series:Forum of Mathematics, Pi
Subjects:
Online Access:https://www.cambridge.org/core/product/identifier/S2050508621000068/type/journal_article