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The long and winding road

Nature Physics volume 12, pages 198–199 (2016)Cite this article

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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.

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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.

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

    Yves Pomeau

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  1. Yves Pomeau
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Correspondence to Yves Pomeau.

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

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