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Analytical Theories and Mathematical Aspects

  • Giovanni Gallavotti
Chapter
Part of the Texts and Monographs in Physics book series (TMP)

Abstract

One of the most immediate and elementary applications of the spectral method of Sect. 2.2 is the local existence, regularity and uniqueness theory of the solutions of the Euler and Navier—Stokes equations in arbitrary dimension.

Keywords

Initial Data Weak Solution Euler Equation Heat Kernel Analytical Theory 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Bibliography

  1. [CKN82]
    Caffarelli, L., Kohn, R., Nirenberg, L.: Partial regularity of suitable weak solutions of the Navier-Stokes equations, Communications on Pure and Applied Mathematics, 35, 771–831, 1982.MathSciNetADSzbMATHCrossRefGoogle Scholar
  2. [Ga93]
    Gallavotti, G.: Some rigorous results about 3D Navier Stokes, in “Turbulence in spatially extended systems”, p.45–74, ed. R. Benzi, C. Bas-devant, S. Ciliberto, Nova Science Publishers, Commack (NY), 1993.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Giovanni Gallavotti
    • 1
  1. 1.Dipartmento di Fisica, I.N.F.N.Università degli Studi di Roma “La Sapienza”RomaItaly

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