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On the statistical study of the Navier-Stokes equations

Part of the Lecture Notes in Mathematics book series (LNM,volume 446)

Keywords

  • Statistical Study
  • Ergodic Theorem
  • Dual Solution
  • Borel Probability Measure
  • Courant Institute

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References

  1. DUNFORD, N. and SCHWARTZ, J. T., Linear Operators, Part I. General Theory, Interscience-Wiley, New York, 1958.

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  2. FOIAS, C., Statistical Study of Navier-Stokes Equations, Part I. Rend. Sem. Mat. Univ. Padova 48 (1973), 219–348; Part II. idem. 49 (1973) 9–123.

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  3. FOIAS, C., A functional framework for the theory of turbulence (in Russian), Uspehi Mat. Nauk (to appear).

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  4. FOIAS, C., On the stationary statistical solutions of the Navier-Stokes equations (to appear).

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  5. FOIAS, C. and PRODI, G., Sur Les solutions statistiques des équations de Navier-Stokes (to appear).

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  6. LIONS, J. L., Quelques Methods de Résolution des Problèmes aux Limites Non Linéaires, Dunod, Gauthiers-Villars, Paris, 1969.

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  7. PRODI, G., frRésultats récents dans la théorie des équations de Navier-Stokes. Les équations aux dérivées partièlles, Colloques Intern. CNRS, Paris, (1962), 181–196.

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  8. PRODI, G., Teoremi di tipo locale per il sistema di Navier-Stokes e stabilità delle soluzioni stazionarie, Rend. Sem. Mat. Univ. Padova 32 (1962), 374–397.

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© 1975 Springer-Verlag

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Foias, C. (1975). On the statistical study of the Navier-Stokes equations. In: Goldstein, J.A. (eds) Partial Differential Equations and Related Topics. Lecture Notes in Mathematics, vol 446. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0070603

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  • DOI: https://doi.org/10.1007/BFb0070603

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07148-8

  • Online ISBN: 978-3-540-37440-4

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