On the convergence rates of discrete solutions to the wave kinetic equation

DOI10.3934/mine.2024022MaRDI QIDQ6618899

Ricardo Grande, M. Dolce

Publication date: 15 October 2024

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

zbMATH Keywords

asymptotic behaviorwave turbulencewave kinetic equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Fundamentals of turbulence (76F02) Time-dependent Schrödinger equations and Dirac equations (35Q41) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) PDEs with measure (35R06) First-order hyperbolic equations (35L02)

Cites Work

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• On the theory of Weak Turbulence for the Nonlinear Schrödinger Equation
• On the non-linear energy transfer in a gravity-wave spectrum Part 1. General theory
• On the derivation of the wave kinetic equation for NLS
• On the non-linear energy transfer in a gravity wave spectrum Part 2. Conservation theorems; wave-particle analogy; irrevesibility
• Full derivation of the wave kinetic equation

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