Resonant averaging for weakly nonlinear stochastic Schrödinger equations
Séminaire Laurent Schwartz — EDP et applications (2013-2014), Exposé no. 9, 9 p.
DOI : 10.5802/slsedp.54
Kuksin, Sergei B. 1

1 IMJ Universite Paris-Diderot (Paris 7) 5 rue Thomas Mann 75205 Paris Cedex 13
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     author = {Kuksin, Sergei B.},
     title = {Resonant averaging for weakly nonlinear stochastic {Schr\"odinger} equations},
     journal = {S\'eminaire Laurent Schwartz {\textemdash} EDP et applications},
     note = {talk:9},
     pages = {1--9},
     publisher = {Institut des hautes \'etudes scientifiques & Centre de math\'ematiques Laurent Schwartz, \'Ecole polytechnique},
     year = {2013-2014},
     doi = {10.5802/slsedp.54},
     language = {en},
     url = {http://archive.numdam.org/articles/10.5802/slsedp.54/}
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Kuksin, Sergei B. Resonant averaging for weakly nonlinear stochastic Schrödinger equations. Séminaire Laurent Schwartz — EDP et applications (2013-2014), Exposé no. 9, 9 p. doi : 10.5802/slsedp.54. http://archive.numdam.org/articles/10.5802/slsedp.54/

[CFG08] J. Cardy, G. Falkovich, and K. Gawedzki, Non-equilibrium Statistical Mechanics and Turbulence, Cambridge University Press, Cambridge, 2008. | MR

[KM13a] S. Kuksin and A. Maiocchi, Derivation of the Kolmogorov-Zakharov equation from the resonant-averaged stochastic NLS equation, . | arXiv

[KM13b] —, Resonant averaging for weakly nonlinear stochastic Schrödinger equations, . | arXiv

[KN13] S. Kuksin and V. Nersesyan, Stochastic CGL equations without linear dispersion in any space dimension, Stoch PDE: Anal Comp 1 (2013), 389–423.

[KP08] S. B. Kuksin and A. L. Piatnitski, Khasminskii - Whitham averaging for randomly perturbed KdV equation, J. Math. Pures Appl. 89 (2008), 400–428. | MR | Zbl

[Kuk10] S. B. Kuksin, Damped-driven KdV and effective equations for long-time behaviour of its solutions, GAFA 20 (2010), 1431–1463. | MR | Zbl

[Kuk13] —, Weakly nonlinear stochastic CGL equations, Ann. Inst. H. Poincaré - PR 49 (2013), 1033–1056. | Numdam | MR

[Naz11] S. Nazarenko, Wave Turbulence, Springer, Berlin, 2011. | MR | Zbl

[Pei97] R. Peierls, On the kinetic theory of thermal conduction in crystals, Selected Scientific Papers of Sir Rudolf Peierls, with commentary, World Scientific, Singapore, 1997, pp. 15–48.

[ZL75] V. E. Zakharov and V. S. L’vov, Statistical description of nonlinear wave fields, Radiophys. Quan. Electronics 18 (1975), 1084–1097. | MR

[ZLF92] V. Zakharov, V. L’vov, and G. Falkovich, Kolmogorov Spectra of Turbulence, Springer, Berlin, 1992. | Zbl

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