Take the 2-minute tour ×
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.

Hi,

I'm a beginning graduate student, and I'm interested in learning more about Fluid Mechanics and, in particular, the Navier stokes Equations. I would like to know: are there are some sort of free survey articles (available online) that discuss the problem? Also, I would like to know if there are any articles that discuss the the possible physical implications of the solutions (assuming it is answered affirmatively).

Thanks, Bharadwaj

share|improve this question
    
Have you checked the usual suspects? Google Scholar? –  Qiaochu Yuan May 28 '10 at 3:45
2  
Why not a book on fluid dynamics if you really want a physical understanding of Navier-Stokes and its solutions? D.J. Acheson's book is a decent introduction. –  j.c. May 28 '10 at 13:20
    
I second jc's comment on Acheson. –  Steve Huntsman May 28 '10 at 15:04
    
Please change to community wiki. thank you –  vonjd Oct 26 '10 at 12:52

3 Answers 3

Terry Tao wrote a blog article a few years ago:

Why global regularity for Navier-Stokes is hard

and another which followed up on some aspects (and links through to an arxiv preprint too): A quantitative formulation of the global regularity problem for the periodic Navier-Stokes equation

share|improve this answer

If you don't know about it, this is one of Clay Math's Millennium Problems, http://claymath.org/millennium/Navier-Stokes_Equations/. They have a brief review with some citations that may be useful. The website claims there's a video of a lecture on it, too, but I haven't watched it so I do not know how useful it would be.

share|improve this answer

See Roger Temam's review.

share|improve this answer
    
I made a link to a book. I hope it was the right one. –  S. Carnahan Oct 26 '10 at 12:08
    
Yes, it is a good book and somehow necessary for researchers of NS-Eq. Temam also has an article name:some developments on Navier-Stokes equations in the second half of 20th century. Although this is written in ten years ago, it is of great value. Anyhow, we did not cover a long distance in these ten years. Another book worth reading is Recent developments in the Navier-Stokes problem (P G Lemarié-Rieusset), using harmonica analysis method. –  zqt Oct 28 '10 at 0:17

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.