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arXiv · 2003.04613

Steady states in dual-cascade wave turbulence

V. N. Grebenev·S. B. Medvedev·S. V. Nazarenko·B. V. Semisalov
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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.

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V. N. Grebenev, S. B. Medvedev, S. V. Nazarenko, B. V. Semisalov. 2020-03-10. Steady states in dual-cascade wave turbulence. https://arxiv.org/abs/2003.04613

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