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On the Landau–Lifschitz Degrees of Freedom in 2-D Turbulence

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Abstract

We show that if the Kraichnan theory of fully developed turbulence holds, then the Landau–Lifschitz degrees of freedom is bounded (up to a logarithmic term) by G 1/2, where G is the Grashof number.

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REFERENCES

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Authors and Affiliations

  1. Department of Mathematics, Indiana University, Bloomington, Indiana, 47405

    C. Foias & M. S. Jolly

  2. Department of Mathematics, Texas A&M University, College Station, Texas, 77843

    C. Foias

  3. Instituto de Matematica, Universidade Federal do Rio De Janeiro, Rio De Janeiro, RJ, 21945-970, Brazil

    R. Rosa

Authors
  1. C. Foias
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  2. M. S. Jolly
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  3. O. P. Manley
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  4. R. Rosa
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Foias, C., Jolly, M.S., Manley, O.P. et al. On the Landau–Lifschitz Degrees of Freedom in 2-D Turbulence. Journal of Statistical Physics 111, 1017–1019 (2003). https://doi.org/10.1023/A:1022814702548

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  • DOI: https://doi.org/10.1023/A:1022814702548

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