You can fool some of the people all the time and all the people some of the time; but you can’t fool all the people all the time.
by Abraham Lincoln

Notes on INS (19): Thomas Hou’s papers

See the latest papers in the following list:

http://www.acm.caltech.edu/~hou/#2

and also the slides of the talks by Hou (2010):

www.math.duke.edu/conferences/FAN2010/Talks/Talk_Duke_Hou.pdf

www.ima.umn.edu/2009-2010/W2.22-26.10/activities/Hou-Thomas/Talk_IMA_Hou.pdf

(print them out & read them, compare with the work by Seregin etc.)

Some excerpts from Hou’s slides & papers:

(Beale-Kato-Majda criterion, 1984) ceases to be classical at if  and only if , . . . → Read More: Notes on INS (19): Thomas Hou’s papers

Notes on INS (18): Hou-Li axisymmetric swirl solutions

Hou-Li solutions are regular, but exhibit a tremendous dynamic growth during a short period of time !

Reference:

Dynamic Stability of the Three-Dimensional Axisymmetric Navier-Stokes Equations with Swirl, by HOU Thomas Y. (1) ; CONGMING LI (2), Communications on pure and applied mathematics, 2008, vol. 61,  no5,  pp. 661-697.

Abstract: In this paper, we study . . . → Read More: Notes on INS (18): Hou-Li axisymmetric swirl solutions

Notes on INS (17): Lemarié’s book on Navier-Stokes (2002)

Last updated: 06/Novt/2010

The book by G. Lemarié-Rieusset: Recent developments in the Navier-Stokes problem (Research Notes in Mathematics Series, CRC Press, 2002) seems to be a very interesting recent book on the Navier-Stokes problem.

Part 1 of of the book (about 100 pages) contains tools from real harmonic analysis needed for the study of . . . → Read More: Notes on INS (17): Lemarié’s book on Navier-Stokes (2002)