Steady states in dual-cascade wave turbulence
Fluid Dynamics
2020-03-11 v1
Abstract
We study stationary solutions in the differential kinetic equation, which was introduced in for description of a local dual cascade wave turbulence. We give a full classification of single-cascade states in which there is a finite flux of only one conserved quantity. Analysis of the steady-state spectrum is based on a phase-space analysis of orbits of the underlying dynamical system. The orbits of the dynamical system demonstrate the blow-up behaviour which corresponds to a "sharp front" where the spectrum vanishes at a finite wave number. The roles of the KZ and thermodynamic scaling as intermediate asymptotic, as well as of singular solutions, are discussed.
Cite
@article{arxiv.2003.04613,
title = {Steady states in dual-cascade wave turbulence},
author = {V. N. Grebenev and S. B. Medvedev and S. V. Nazarenko and B. V. Semisalov},
journal= {arXiv preprint arXiv:2003.04613},
year = {2020}
}
Comments
17 pages, 11 figures