JETP Letters

, Volume 104, Issue 10, pp 685–689 | Cite as

Development of high vorticity in incompressible 3D Euler equations: Influence of initial conditions

  • D. S. Agafontsev
  • E. A. Kuznetsov
  • A. A. Mailybaev
Plasma, Hydro- and Gas Dynamics


The incompressible three-dimensional ideal flows develop very thin pancake-like regions of increasing vorticity. These regions evolve with the scaling ωmax(t) ∝ l(t)-2/3 between the vorticity maximum and pancake thickness, and provide the leading contribution to the energy spectrum, where the gradual formation of the Kolmogorov interval E k ∝ k−5/3 is observed for some initial flows. With the massive numerical simulations, we study the influence of initial conditions on the processes of pancake formation and the Kolmogorov energy spectrum development.


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Copyright information

© Pleiades Publishing, Inc. 2016

Authors and Affiliations

  • D. S. Agafontsev
    • 1
    • 2
  • E. A. Kuznetsov
    • 2
    • 3
  • A. A. Mailybaev
    • 4
  1. 1.Shirshov Institute of OceanologyRussian Academy of SciencesMoscowRussia
  2. 2.Novosibirsk State UniversityNovosibirskRussia
  3. 3.Lebedev Physical InstituteRussian Academy of SciencesMoscowRussia
  4. 4.Instituto Nacional de Matemática Pura e Aplicada—IMPARio de JaneiroBrazil

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