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Steady states in dual-cascade wave turbulence

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arxiv 2003.04613 v1 pith:L7MGTCBG submitted 2020-03-10 physics.flu-dyn

V. N. Grebenev , S. B. Medvedev , S. V. Nazarenko , B. V. Semisalov This is my paper · ORCID
classification physics.flu-dyn
keywords waveanalysisdynamicalfiniteorbitssolutionsspectrumstates
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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.

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  1. Weak and strong turbulence in self-focusing and defocusing media

    physics.flu-dyn 2025-01 conditional novelty 7.0 of 10

    One-loop wave interactions steepen the spectrum in defocusing media and flatten it in focusing media, and large-N analysis yields new strong-turbulence spectra.

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