Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

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.
share|improve this question
    
Well, concerning your first point, Galdi's "An introduction to the mathematical theory of the Navier-Stokes equations" could be a good start (if you're comfortable with the basics of real analysis). Temam's books (there are at least three I know of) are, I believe, a standard reference. Besides these most is in article form I believe, or in texts on fluid dynamics (maybe you could look into these for your other points). –  Jose27 Apr 28 '11 at 4:52
    
In terms of motivation, and as mentioned by Jose27, any introductory text on fluid dynamics will suffice. –  picakhu Apr 28 '11 at 5:38
    
If you're looking for a very physical point of view, try Acheson's "Elementary Fluid Dynamics" (Oxford Univ. Press). –  Gerben Apr 28 '11 at 6:36

1 Answer 1

up vote 5 down vote accepted

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.

share|improve this answer

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.