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For understanding the Navier-Stokes equations, are there any references which may include one or more of the followings:

  • mathematical rigorousness
  • motivation
  • preliminaries
  • introduction
  • etc.
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    If you're looking for a very physical point of view, try Acheson's "Elementary Fluid Dynamics" (Oxford Univ. Press).2011-04-28

1 Answers 1

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As this is one of the Clay Institute of Mathematics Millennium Problems, I refer you to their webpage on the problem and to their write-up for the prize. It contains several references about the problem and some of the results on the problem. Their webpage also has a video lecture by Luis Caffarelli on the problem, which I think is really cool.