Onset of the wave turbulence description of the longtime behavior of the nonlinear Schrödinger equation

DOI10.1007/s00222-021-01039-zzbMath1484.35345arXiv1907.03667OpenAlexW3139261203MaRDI QIDQ2049904

Pierre Germain, Jalal Shatah, Zaher Hani, Tristan Buckmaster

Publication date: 27 August 2021

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.03667

zbMATH Keywords

nonlinear Schrödinger equationBoltzmann's kinetic theorywave kinetic equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) A priori estimates in context of PDEs (35B45) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Boltzmann equations (35Q20)

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