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Incipient Turbulence and Chaos

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

Abstract

Analysing the fundamental problems of the NS equation has, in particular, brought up clearly the lack of an adequate algorithm, i.e. convergent and constructive, for its solution. Furthermore even if we knew that the fluid equations had unique and regular solutions, for regular initial data (for the NS equation this is true if d = 2 and likely if d = 3, but false if d >4) this would not help much in the understanding of the physical properties of such solutions at large times.

Keywords

Periodic Orbit Hopf Bifurcation Periodic Motion Rotation Number Period Doubling Bifurcation 
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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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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