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Long time justification of wave turbulence theory

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arxiv 2311.10082 v2 pith:M2QIXLUT submitted 2023-11-16 math.AP math-phmath.MP

classification math.APmath-phmath.MP
keywords kineticwavearxivderivationequationjustificationlongtime
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In a series of previous works (arXiv:2104.11204, arXiv:2110.04565, arXiv:2301.07063), we gave a rigorous derivation of the homogeneous wave kinetic equation (WKE) up to small multiples of the kinetic timescale, which corresponds to short time solutions to the wave kinetic equation. In this work, we extend this justification to arbitrarily long times that cover the full lifespan of the WKE. This is the first large data, long-time derivation ever obtained in any nonlinear (particle or wave) collisional kinetic limit.

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Cited by 9 Pith papers

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