On nonlinear Schrödinger equations with random initial data

DOI10.3934/mine.2022030zbMath1496.35359OpenAlexW3196628280MaRDI QIDQ2167607

Mitia Duerinckx

Publication date: 25 August 2022

Published in: Mathematics in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mine.2022030

zbMATH Keywords

random fieldsglobal well-posednessrandom initial dataNLS equationsstatistical spatial homogeneity

Mathematics Subject Classification ID

Random fields (60G60) Statistical turbulence modeling (76F55) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs with randomness, stochastic partial differential equations (35R60) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (2)

Fluid instabilities, waves and non-equilibrium dynamics of interacting particles: a short overview ⋮ Almost sure well-posedness and scattering of the 3D cubic nonlinear Schrödinger equation

Cites Work

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• A new spectral analysis of stationary random Schrödinger operators
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