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Steady states in Leith's model of turbulence

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Publication:2832502
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DOI10.1088/1751-8113/49/36/365501zbMath1349.76091OpenAlexW2508330722MaRDI QIDQ2832502

S. B. Medvedev, Adam Griffin, Vladimir N. Grebenev, Sergey V. Nazarenko

Publication date: 11 November 2016

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: http://wrap.warwick.ac.uk/81194/7/WRAP_aaa3579p26.pdf


zbMATH Keywords

stationary solutionsbottleneck phenomenonsolvability of boundary value problemsLeith model turbulence


Mathematics Subject Classification ID

Fundamentals of turbulence (76F02)


Related Items (3)

The focusing problem for the Leith model of turbulence: a self-similar solution of the third kind ⋮ Self-similar formation of the Kolmogorov spectrum in the Leith model of turbulence ⋮ Steady states in dual-cascade wave turbulence



Cites Work

  • Blow-up in quasilinear parabolic equations. Transl. from the Russian by Michael Grinfeld
  • Bottleneck phenomenon in developed turbulence
  • Self-similar solution in the Leith model of turbulence: anomalous power law and asymptotic analysis
  • Invariant solutions for the nonlinear diffusion model of turbulence
  • Anomalous spectral laws in differential models of turbulence


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