Landau-Lifshitz Navier-Stokes equation on which page of the textbook?

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Discussion Overview

The discussion revolves around the location of the Landau-Lifshitz Navier-Stokes (LLNS) equation within the Landau-Lifshitz Fluid Mechanics textbook. Participants are seeking specific page references for the equation, which includes a thermal fluctuation term added to the standard Navier-Stokes equation. The context includes inquiries about different editions of the textbook.

Discussion Character

  • Meta-discussion

Main Points Raised

  • Some participants note the existence of the LLNS equation in the context of fluctuating hydrodynamics but express difficulty in locating it within the textbook.
  • Several participants share their own struggles to find the LLNS equation, indicating a common issue among them.
  • One participant suggests that the location of the equation may vary depending on the edition of the textbook, mentioning that the first edition contains a unit on fluctuations that is absent in the second edition.
  • There is speculation that content may have been moved to another volume, such as volume 5 on statistical physics, but this remains uncertain.

Areas of Agreement / Disagreement

Participants generally agree that locating the LLNS equation in the textbook is problematic, but there is no consensus on its exact location or whether it has been moved in different editions.

Contextual Notes

Participants reference different editions of the textbook, which may affect the availability and location of the LLNS equation. There is uncertainty regarding the movement of content between editions and volumes.

lsloneil
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I see some papers mentioning the fluctuating hydrodynamics, which originates from the Landau-Lifshitz Navier-Stokes (LLNS) equation. I know that the LLNS equation has added a thermal fluctuation term to the N-S equation, but I still couldn't find it on the Landau-Lifshitz Fluid Mechanics book. The references of those papers just say it is in the Landau-Lifshitz book, without telling me exactly which page it is on. Anyone know this?

Thanks.
 
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I am encountering exactly the same issue. Where you able to find the equation on the textbook?
Thank you.
 
I have the same problem.
I would really appreciate if anyone can tell me where to find the LLNS equation on the book.
 
Is it equation 1 here?
 
It may depend on which edition of the book you have handy. The first edition has an entire unit at the end titled "XVII. Fluctuations in Fluid Mechanics" which has been removed in the second edition. It's possible that these two chapters were moved to another volume (e.g. volume 5, statistical physics) but I am not really sure since I am not familiar with that book or with anything other than the 2nd edition of volume 6.
 
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