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Onset of dissipation at zero viscosity in turbulent flows

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Book cover Proceedings of the Fourth International Conference on Numerical Methods in Fluid Dynamics

Part of the book series: Lecture Notes in Physics ((LNP,volume 35))

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References

  1. C. Bardos: J. Math. Anal. and Applic. 40, 769 (1972)

    Article  Google Scholar 

  2. C. Brauner, P. Penel, R. Temam: Sur une équation devolution nonlinéaire liée à la theorie de la turbulence (I and II), to appear in Comptes Rendus Ac. Sc., (1974)

    Google Scholar 

  3. A. Brissaud et al.: Ann. Geophys. (Paris) 29, 539, (1974), avail. at this conf.

    Google Scholar 

  4. W. J. Cocke: Phys. Fluids 12, 2488 (1969)

    Article  Google Scholar 

  5. U. Frisch, J. Léorat, A. Mazure and A. Pouquet: MHD Helical Turbulence. Preprint Observatoire de Nice, submitted to J. Fluid Mech. (1973)

    Google Scholar 

  6. U. Frisch, M. Lesieur and P. L. Sulem: le Modèle du Champ d' Epreuve (Test Field Model) de Kraichnan, presented at Round Table on Turbulence, Villard de Lans May 20–22 (1974)

    Google Scholar 

  7. J. R. Herring: in Proceedings of Symposium on Turbulence in Fluids and Plasmas, Culham, July (1973), to appear.

    Google Scholar 

  8. J. R. Herring: Approach of Axisymmetric Turbulence to Isotropy, to appear in Phys. Fluids, (1974)

    Google Scholar 

  9. J. R. Herring and R. H. Kraichnan: In “Statistical Models and Turbulence” p. 148, Proceedings of the La Jolla Meeting, Springer (1972)

    Google Scholar 

  10. T. Kato, J. Funct. Anal. 9, 296 (1972)

    Article  Google Scholar 

  11. R. H. Kraichnan: J. Fluid Mech. 47, 513 and 525 (1971)

    Google Scholar 

  12. R. H. Kraichnan: J. Fluid Mech. 69, 305 (1974)

    Google Scholar 

  13. R. H. Kraichnan: Statistical dynamics of two-dimensional flows, preprint, submitted to J. Fluid Mech. (1974)

    Google Scholar 

  14. C. E. Leith and R. H. Kraichnan: J. Atmo. Sc. 29, 1041 (1972)

    Article  Google Scholar 

  15. C. E. Leith: J. Atm. Sc. 28, 145 (1971)

    Article  Google Scholar 

  16. J. Léorat, U. Frisch and A. Pouquet: Helical MHD Turbulence and the Nonlinear Dynamo Problem, presented at the Nordita Meeting, Copenhagen, June 5–7 (1974)

    Google Scholar 

  17. M. Lesieur: Thesis, Nice (1973)

    Google Scholar 

  18. D. C. Leslie: Developments in the Theory of Turbulence, Clarendon (1973)

    Google Scholar 

  19. J. L. Lions: Quelques Méthodes de Résolution des Problèmes aux Limites nonlinéaires, Dunod (1969)

    Google Scholar 

  20. E. N. Lorenz: Tellus, 21, 289 (1969)

    Google Scholar 

  21. B. B. Mandelbrot: J. Fluid Mech. 62, 331 (1974)

    Google Scholar 

  22. S. A. Orszag: Statistical Theory of Turbulence, to appear in Pro-ceedings of the 1973 les Houches Summer School of Theoretical Physics.

    Google Scholar 

  23. S. A. Orszag: J. Fluid Mech. 41, 363 (1970)

    Google Scholar 

  24. A. Pouquet, M. Lesieur, J. C, Andre: High Reynolds Number Twodimensional Turbulence Using a Stochastic Model, preprint Observatoire de Nice, submitted to J. Fluid Mech. (1973)

    Google Scholar 

  25. P. L. Sulem and U. Frisch: Bounds on energy flux for finite energy turbulence, preprint (1974)

    Google Scholar 

  26. H. Swann: Trans. Amer. Math. Soc. 157, 373 (1971)

    Google Scholar 

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Robert D. Richtmyer

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© 1975 Springer-Verlag

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(1975). Onset of dissipation at zero viscosity in turbulent flows. In: Richtmyer, R.D. (eds) Proceedings of the Fourth International Conference on Numerical Methods in Fluid Dynamics. Lecture Notes in Physics, vol 35. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0019746

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  • DOI: https://doi.org/10.1007/BFb0019746

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  • Print ISBN: 978-3-540-07139-6

  • Online ISBN: 978-3-540-37416-9

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