V. N. Grebenev, S. B. Medvedev, S. V. Nazarenko, B. V. Semisalov
2020-08-14
<p>We study stationary solutions in the differential kinetic equation, which was introduced in Dyachenko A <em>et al</em> (1992 <em>Physica</em> D <strong>57</strong> 96–160) 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 blowup behaviour which corresponds to a 'sharp front' where the spectrum vanishes at a finite wave number. The roles of the Kolmogorov–Zakharov and thermodynamic scaling as intermediate asymptotic, as well as of singular solutions, are discussed.</p>
https://doi.org/10.1088/1751-8121/aba29d
oai:zenodo.org:4009807
eng
Zenodo
info:eu-repo/semantics/openAccess
Creative Commons Attribution 4.0 International
https://creativecommons.org/licenses/by/4.0/legalcode
wave turbulence, optical turbulence, light turbulence
Steady states in dual-cascade wave turbulence
info:eu-repo/semantics/article