Skip to main content
SpringerLink
Log in

The long and winding road

  • Commentary
  • Published:

From Nature Physics

View current issue Submit your manuscript

For a problem as complex as turbulence, combining universal concepts from statistical physics with ideas from fluid mechanics has proven indispensable. Three decades since this link was formed, it is still providing food for new thought.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Coullet, P. C. R. Mecanique 340, 777–788 (2012).

    Article  ADS  Google Scholar 

  2. Reynolds, O. Phil. Trans. R. Soc. 174, 935–982 (1883).

    Article  ADS  Google Scholar 

  3. Shih, H.-Y., Hsieh, T.-L. & Goldenfeld, N. Nature Phys. 12, 245–248 (2016).

    Article  ADS  Google Scholar 

  4. Lemoult, G. et al. Nature Phys. 12, 254–258 (2016).

    Article  ADS  Google Scholar 

  5. Sano, M. & Tamai, K. Nature Phys. 12, 249–253 (2016).

    Article  ADS  Google Scholar 

  6. Wygnanski, I. J. & Champagne, F. H. J. Fluid Mech. 59, 281–335 (1973).

    Article  ADS  Google Scholar 

  7. Wygnanski, I. J., Sokolov, M. & Friedman, D. J. Fluid Mech. 69, 283–304 (1975).

    Article  ADS  Google Scholar 

  8. Landau, L. Doklady Akad. Nauk SSSR 44, 339–342 (1944).

    Google Scholar 

  9. Poincaré, J. H. PhD thesis, Univ. Paris (1879).

  10. Segel, L. A. J. Fluid Mech. 38, 203–224 (1969).

    Article  ADS  Google Scholar 

  11. Newell, A. C. & Whitehead, J. A. J. Fluid Mech. 38, 279–303 (1969).

    Article  ADS  MathSciNet  Google Scholar 

  12. Stuart, J. T. Ann. Rev. Fluid Mech. 3, 347–370 (1971).

    Article  ADS  Google Scholar 

  13. Pomeau, Y. Physica D 23, 3–11 (1986).

    Article  ADS  Google Scholar 

  14. Bottin, S., Daviaud, F., Manneville, P. & Dauchot, O. EPL 43, 171–176 (1998).

    Article  ADS  Google Scholar 

  15. Bergé, P., Pomeau, Y. & Vidal, C. in L'Espace Chaotique Ch. 4, 61–96 (Hermann, 1998).

    MATH  Google Scholar 

  16. Chaté, H. & Manneville, P. Phys. Rev. Lett. 58, 112–115 (1987).

    Article  ADS  Google Scholar 

  17. Barkley, D. Phys. Rev. E 84, 016309 (2011).

    Article  ADS  Google Scholar 

  18. Benjamin, T. B. & Feir, J. E. J. Fluid Mech. 27, 417–430 (1967).

    Article  ADS  Google Scholar 

  19. Benjamin, T. B. Proc. Roy. Soc. A 299, 59–75 (1967).

    Article  ADS  Google Scholar 

  20. Lega, J. Physica D 152–153, 269–287 (2001).

    Article  ADS  Google Scholar 

  21. Pomeau, Y. & Le Berre, M. Preprint at http://arxiv.org/abs/1511.08448 (2015).

  22. Emmons, H. W. J. Aero. Sci. 18, 490–498 (1951).

    Article  Google Scholar 

Download references

Acknowledgements

It is a great pleasure to thank Martine Le Berre for her help. Without her input, this work could have not been done.

Author information

Authors and Affiliations

  1. Yves Pomeau is in the Department of Mathematics at the University of Arizona, Tucson, Arizona 85721, USA,

    Yves Pomeau

Authors
  1. Yves Pomeau
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Yves Pomeau.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Pomeau, Y. The long and winding road. Nature Phys 12, 198–199 (2016). https://doi.org/10.1038/nphys3684

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1038/nphys3684

  • Springer Nature Limited

This article is cited by

Search

Navigation