Home For authors Submission status Current Archive (English) Archive    Volumes 61-80    Volumes 41-60    Volumes 21-40    Volumes 1-20    Volumes 81-88       Volume 88       Volume 87       Volume 86       Volume 85       Volume 84       Volume 83       Volume 82       Volume 81 Search

VOLUME 83 | ISSUE 5 | PAGE 238 Differential approximation for Kelvin-wave turbulence S. Nazarenko Mathematics Institute, University of Warwick, Coventry CV4 7AL, UK PACS: 67.40.Vs Abstract I present a nonlinear differential equation model (DAM) for the spectrum of Kelvin waves on a thin vortex filament. This model preserves the original scaling of the six-wave kinetic equation, its direct and inverse cascade solutions, as well as the thermodynamic equilibrium spectra. Further, I extend DAM to include the effect of sound radiation by Kelvin waves. I show that, because of the phonon radiation, the turbulence spectrum ends at a maximum frequency where ε is the total energy injection rate, cs is the speed of sound and κ is the quantum of circulation. Download PS file (GZipped, 49.3K)  |  Download PDF file (145.4K) Список работ, цитирующих данную статью, см. здесь. List of articles citing this article can be found here.