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· 2008 · DOI 10.1088/0953-4075/41/20/203002

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math.AP 1

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On the onset of correlations in Wave Turbulence close to singularities

math.AP · 2026-05-04 · unverdicted · novelty 4.0

Near the blow-up time of the wave turbulence kinetic equation for the Schrödinger equation, the cumulants hierarchy cannot be approximated by the kinetic equation and must instead be replaced by a random field satisfying a nonlinear non-autonomous Schrödinger equation for all real times.

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  • On the onset of correlations in Wave Turbulence close to singularities math.AP · 2026-05-04 · unverdicted · none · ref 35

    Near the blow-up time of the wave turbulence kinetic equation for the Schrödinger equation, the cumulants hierarchy cannot be approximated by the kinetic equation and must instead be replaced by a random field satisfying a nonlinear non-autonomous Schrödinger equation for all real times.