most recent 30 from http://mathoverflow.net 2013-05-25T20:11:07Z http://mathoverflow.net/feeds/question/26223 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/26223/surveys-on-navier-stokes-equations-and-its-physical-implications Bhardwaj 2010-05-28T03:28:17Z 2010-10-26T12:08:16Z

<p>Hi,</p> <p>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). </p> <p>Thanks, Bharadwaj</p>

http://mathoverflow.net/questions/26223/surveys-on-navier-stokes-equations-and-its-physical-implications/26228#26228 jeremy 2010-05-28T04:56:46Z 2010-05-28T04:56:46Z

<p>If you don't know about it, this is one of Clay Math's Millennium Problems, <a href="http://claymath.org/millennium/Navier-Stokes_Equations/" rel="nofollow">http://claymath.org/millennium/Navier-Stokes_Equations/</a>. 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.</p>

http://mathoverflow.net/questions/26223/surveys-on-navier-stokes-equations-and-its-physical-implications/26251#26251 Q.Q.J. 2010-05-28T11:26:27Z 2010-05-28T11:26:27Z

<p>Terry Tao wrote a blog article a few years ago:</p> <p><a href="http://terrytao.wordpress.com/2007/03/18/why-global-regularity-for-navier-stokes-is-hard/" rel="nofollow">Why global regularity for Navier-Stokes is hard</a></p> <p>and another which followed up on some aspects (and links through to an arxiv preprint too): <a href="http://terrytao.wordpress.com/2007/10/09/a-quantitative-formulation-of-the-global-regularity-problem-for-the-periodic-navier-stokes-equation/" rel="nofollow"> A quantitative formulation of the global regularity problem for the periodic Navier-Stokes equation</a></p>

http://mathoverflow.net/questions/26223/surveys-on-navier-stokes-equations-and-its-physical-implications/26258#26258 zqt 2010-05-28T12:51:15Z 2010-10-26T12:08:16Z

<p>See <a href="http://books.google.co.jp/books?id=NAF6W1oN9pcC" rel="nofollow">Roger Temam's review</a>.</p>