On the kinetic wave turbulence description for NLS

Buckmaster, T.; Germain, P.; Hani, Z.; Shatah, J.

doi:10.1090/qam/1554

Authors: T. Buckmaster, P. Germain, Z. Hani and J. Shatah
Journal: Quart. Appl. Math. 78 (2020), 261-275
MSC (2010): Primary 35Q55; Secondary 37K05
DOI: https://doi.org/10.1090/qam/1554
Published electronically: November 15, 2019
MathSciNet review: 4077463
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Abstract: The purpose of this note is two-fold: A) We give a brief introduction into the problem of rigorously justifying the fundamental equations of wave turbulence theory (the theory of nonequilibrium statistical mechanics of nonlinear waves), and B) we describe a recent work of the authors in which they obtain the so-called wave kinetic equation, predicted in wave turbulence theory, for the nonlinear Schrödinger equation on short but nontrivial time scales.

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