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Turbulence and Hausdorff dimension

Part of the Lecture Notes in Mathematics book series (LNM,volume 565)

Keywords

  • Hausdorff Dimension
  • Hausdorff Measure
  • Partial Regularity
  • Geometric Measure Theory
  • Lebesgue Measure Zero

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References

  1. H. Federer, Geometric Measure Theory, Springer-Verlag, New York, 1969.

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  2. J. Leray, Sur le mouvement d'un liquide visqueux emplissant l'espace, Acta Math. 63 (1934), 193–248.

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  3. O. A. Ladyzhenskaya, The Mathematical Theory of Viscous Incompressible Flow, revised English edition, Gordon & Breach, New York, 1964.

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  4. B. Mandelbrot, Les Objets Fractals, Flammarion, Paris, 1975.

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  5. V. Scheffer, Geometrie fractale de la turbulence. Equations de Navier-Stokes et dimension de Hausdorff, C. R. Acad. Sc. Paris, 282 (Jan. 12, 1976), Serie A-121–122.

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  6. _____, Partial regularity of solutions to the Navier-Stokes equations, to appear in the Pacific Journal of Mathematics.

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© 1976 Springer-Verlag Berlin · Heidelberg

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Scheffer, V. (1976). Turbulence and Hausdorff dimension. In: Temam, R. (eds) Turbulence and Navier Stokes Equations. Lecture Notes in Mathematics, vol 565. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0091455

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  • DOI: https://doi.org/10.1007/BFb0091455

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08060-2

  • Online ISBN: 978-3-540-37516-6

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