ON THE KINETIC WAVE TURBULENCE DESCRIPTION FOR NLS

T. Buckmaster; Pierre Germain; Z. Hani; J. Shatah

doi:10.1090/QAM/1554

ON THE KINETIC WAVE TURBULENCE DESCRIPTION FOR NLS

T. Buckmaster, Pierre Germain, Z. Hani, J. Shatah

Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English (US)
Pages (from-to)	261-275
Number of pages	15
Journal	Quarterly of Applied Mathematics
Volume	78
Issue number	2
DOIs	https://doi.org/10.1090/QAM/1554
State	Published - Jun 2020

ASJC Scopus subject areas

Applied Mathematics

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10.1090/QAM/1554

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title = "ON THE KINETIC WAVE TURBULENCE DESCRIPTION FOR NLS",

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 Schr{\"o}dinger equation on short but nontrivial time scales.",

author = "T. Buckmaster and Pierre Germain and Z. Hani and J. Shatah",

year = "2020",

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doi = "10.1090/QAM/1554",

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AU - Germain, Pierre

AU - Hani, Z.

AU - Shatah, J.

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AB - 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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ON THE KINETIC WAVE TURBULENCE DESCRIPTION FOR NLS

Abstract

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