© 2002

Foundations of Fluid Dynamics


  • The only textbook dealing with the mathematical physics in fluid mechanics


Part of the Texts and Monographs in Physics book series (TMP)

Table of contents

  1. Front Matter
    Pages I-XVIII
  2. Giovanni Gallavotti
    Pages 1-82
  3. Giovanni Gallavotti
    Pages 83-142
  4. Giovanni Gallavotti
    Pages 143-226
  5. Giovanni Gallavotti
    Pages 227-286
  6. Giovanni Gallavotti
    Pages 287-401
  7. Giovanni Gallavotti
    Pages 403-439
  8. Giovanni Gallavotti
    Pages 441-490
  9. Back Matter
    Pages 491-514

About this book


This monograph on fluid mechanics is not only a superb and unique textbook but also an impressive piece of research. The author writes from the vantage point of a mathematical physicist: Having in mind the important applications and approximation techniques used in physics and engineering, he carefully analyses the power of the theory. He examines, among others, the theories of Leray, Ruelle and Takens, and discusses Lorenz's ideas of attractors. This is the only textbook that fully covers turbulence, all the way from the works of Kolmogorov to modern dynamics.

This 2nd corrected printing has been thoroughly revised with many changes to improve readability.


Attractors Chaos Turbulence algorithm fluid dynamics fluid mechanics mechanics

Authors and affiliations

  1. 1.Dipartimento di Fisica, I.N.F.N.Università degli Studi di Roma “La Sapienza”RomaItaly

Bibliographic information

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"Gallavotti’s remarkable new book, Foundations of Fluid Dynamics, takes a fresh look at the essential formulation and phenomenology of fluid dynamics as reflected in the research of the 70s, 80s and 90s. [...] Foundations of Fluid Dynamics is strongly recommended, by this reviewer, for acquisition by academic libraries and for the use of anyone with a serious interest in the mathematical foundations of fluid dynamics." (J.H. Lienhard, Applied Mechanics Review, 55/4, 2002)

"This is an advanced textbook suitable for higher level graduate coursework and as a research reference work. [...] All in all, this book presents a broad range of topics in sufficient depth to make it relatively self-contained." (Mathematical Reviews 2003e)