Weak turbulence and collapses in the Majda--McLaughlin--Tabak equation: Fluxes in wavenumber and in amplitude space

DOI10.1016/j.physd.2005.04.012zbMath1112.76042OpenAlexW2140771802MaRDI QIDQ2486645

Laura Biven, Benno Rumpf

Publication date: 5 August 2005

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2005.04.012

zbMATH Keywords

IntermittencyWave collapseWeak turbulence

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Statistical turbulence modeling (76F55)

Related Items (4)

Quality measures for the evaluation of machine learning architectures on the quantification of epistemic and aleatoric uncertainties in complex dynamical systems ⋮ Wave instability under short-wave amplitude modulations ⋮ Discreteness and its effect on water-wave turbulence ⋮ A numerical study on statistical characteristics of amplitude fluctuations in a wave turbulence

Cites Work

• Unnamed Item
• A one-dimensional model for dispersive wave turbulence
• Computer simulation of wave collapses in the nonlinear Schrödinger equation
• Optical turbulence: weak turbulence, condensates and collapsing filaments in the nonlinear Schrödinger equation
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Localization and coherence in nonintegrable systems
• Spectral bifurcations in dispersive wave turbulence
• The large-scale structure of homogeneous turbulence
• Wave turbulence and intermittency
• Wave turbulence in one-dimensional models
• Non-local MHD turbulence

This page was built for publication: Weak turbulence and collapses in the Majda--McLaughlin--Tabak equation: Fluxes in wavenumber and in amplitude space