Want to start with turbulence ? Start first with fluid dynamics:
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Regarding Turbulence itself, if I have to choose just three references, I would select (in brackets [ ] Shalizi's own comments, in ( ) my comments) :
- George Batchelor [Old, but classics]
- An Introduction to Fluid Dynamics ( I have the feeling to be able to do better in some parts - but without trying it how one can say ?)
Regarding Turbulence itself, if I have to choose just three references, I would select (in brackets [ ] Shalizi's own comments, in ( ) my comments) :
- George Batchelor [Old, but classics]
- The Theory of Homogeneous Turbulence (obsolete mathematics but a clear view of the problem)
- Uriel Frisch, Turbulence: The Legacy of A. N. Kolmogorov [An excellent introduction, very strong on defending Kolmogorov's work from misunderstandings and invalid criticisms.] One paper that summarizes Frisch view is here.
Of the latter this paper by David Ruelle can be a complement.
On-line resources are also available, and you can think to start from (this could be actually the very first reading):
and continue with some selected topics by
Also the old classic book by Tennekes and Lumley is available, legally or not, on-line, here.
Regarding the general topics that are intriguing to me, are those connected to random cascades (and turbulence), that I came to know (but not yet assimilate) through the work of Ed Waymire:
- Peckham, S. and E. Waymire, The simmetry of turbulence, 1996
- Birnir, The Kolmogorov, Obukhov, She, Leveque scaling in turbulence, 2013
Also interesting the works on rinormalization group and turbulences of which this is a google synthesis.
Finally, you can look at the Cosma Shalizi's bibliography. Huge and overwhelming indeed, it was the starting point of this my own post.
Finally, you can look at the Cosma Shalizi's bibliography. Huge and overwhelming indeed, it was the starting point of this my own post.