[1] Claude Bardos and Said Benachour. Domaine d'analycite des solutions de l'equation d'Euler dans
un ouvert de r". Annali delta Scuola Normale Superiore di Pisa - Classe di Scienze, 4e serie,
4(4):647-687, 1977.
[2] D. J. Benney, Philip Geoffrey Saffman, and George Keith Batchelor. Nonlinear interactions of
random waves in a dispersive medium. Proceedings of the Royal Society of London. Series A.
Mathematical and Physical Sciences, 289(1418):301-320, 1966.
[3] Sylvie Benzoni-Gavage, Jean-Fran~ois Coulombel, and Nikolay Tzvetkov. Ill-posedness of nonlocal Burgers equations. Adv. Math., 227(6):2220-2240, 2011.
[4] R. Brout and I. Prigogine. Statistical mechanics of irreversible processes part viii: general theory
of weakly coupled systems. Physica, 22(6-12):621 - 636, 1956.
11
[5] T. Buckmaster, P. Germain, Z. Hani, and J. Shatah. Onset of the wave turbulence description of the
longtime behavior of the nonlinear Schrodinger equation. Invent. Math., 225(3):787-855, 2021.
[6] Russel E. Caflisch. A simplified version of the abstract Cauchy-Kowalewski theorem with weak
singularities. Bull. Amer. Math. Soc. (N.S.), 23(2):495-500, 1990.
[7] Charles Collot and Pierre Germain. On the derivation of the homogeneous kinetic wave equation.
arXiv preprint arXiv:1912.10368, 2019.
[8] Charles Collot and Pierre Germain. Derivation of the homogeneous kinetic wave equation: longer
time scales. arXiv preprint arXiv:2007.03508, 2020.
[9] Anne-Sophie de Suzzoni. General remarks on the propagation of chaos in wave turbulence and
application to the incompressible euler dynamics. arXiv eprints 2206.14744, 2022.
[10] Yu Deng and Zaher Hani. Full derivation of the wave kinetic equation. arXiv eprints 2104.11204,
2021.
[11] Yu Deng and Zaher Hani. On the derivation of the wave kinetic equation for NLS. Forum Math.
Pi, 9:Paper No. e6, 37, 2021.
[12] Yu Deng and Zaher Hani. Propagation of chaos and the higher order statistics in the wave kinetic
theory. arXiv eprints 2110.04565, 2021.
[13] Yu Deng and Zaher Hani. Derivation of the wave kinetic equation: full range of scaling laws, 2023.
[14] Andrey Dymov and Sergei Kuksin. On the Zakharov-L'vov stochastic model for wave turbulence.
Dokl. Math, 101:102-109, 2020.
[15] Andrey Dymov and Sergei Kuksin. Formal expansions in stochastic model for wave turbulence 1:
Kinetic limit. Comm. Math. Phys., 382(2):951-1014, 2021.
[16] Andrey Dymov and Sergei Kuksin. Formal expansions in stochastic model for wave turbulence 2:
Method of diagram decomposition. J. Stat. Phys., 190(1):Paper No. 3, 42, 2023.
[17] Erwan Faou. Linearized wave turbulence convergence results for three-wave systems. Communications in Mathematical Physics, 378, 09 2020.
[18] K. Hasselmann. On the non-linear energy transfer in a gravity-wave spectrum part 1. general theory.
Journal of Fluid Mechanics, 12(4):481-500, 1962.
[19] K. Hasselmann. On the non-linear energy transfer in a gravity wave spectrum part 2. conservation
theorems; wave-particle analogy; irrevesibility. Journal of Fluid Mechanics, 15(2):273-281, 1963.
[20] Jani Lukkarinen and Herbert Spohn. Weakly nonlinear Schrodinger equation with random initial
data. Invent. Math., 183(1):79-188, 2011.
[21] Sergey Nazarenko. Wave turbulence, volume 825 of Lecture Notes in Physics. Springer, Heidelberg,
2011.
[22] R. Peierls. Zur kinetischen theorie der wiirmeleitung in kristallen.
395(8):1055-1101, 1929.
Annalen der Physik,
12
[23] Gigliola Staffilani and Minh-Binh Tran. On the wave turbulence theory for stochastic and random
multidimensional KdV type equations. arXiv eprints 2106.09819, 2021.
[24] V. E. Zakharov. Weak turbulence in media with a decay spectrum. Journal of Applied Mechanics
and Technical Physics, 6(4):22-24, July 1965.
[25] V. E. Zakharov and N.N. Filonenko. Energy spectrum for stochastic oscillations of the surface of a
liquid. Dokl. Akad. Nauk SSSR, 170:1292-1295, 1966.
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