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Problem with the Derivation of the Navier-Stokes Equation by Means of Zwanzig-Mori Projection Technique of Statistical Mechanics

Authors
  • Piest, J.
Type
Preprint
Publication Date
Nov 18, 2007
Submission Date
Nov 18, 2007
Identifiers
arXiv ID: 0711.2790
Source
arXiv
License
Unknown
External links

Abstract

The derivation of the Navier-Stokes equation starting from the Liouville equation using projection techniques yields a friction term which is nonlinear in the velocity. Using the results of multilinear mode-coupling technique for calculating equlibrium correlation functions, it is shown that the second-order part of the term is non-zero, thus leading to an incorrect formula for the equation.

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