Somebody wrote: > : > :P.S. I can't believe there are _still_ some outstanding issues with the > :Navier Stokes equations (uniqueness of solution, as another poster > :mentioned). But as Euler said on his deathbed, when a friend asked > :if he planned to consult God about the problem of turbulence. "No, > :I wouldn't want to embarrass him!" > :
OK, I sense some disbelief that this is a genuine question.
Have a look at:
Doering, Charles R.; Gibbon, J. D. Applied analysis of the Navier-Stokes equations. Cambridge Texts in Applied Mathematics. Cambridge University Press, Cambridge, 1995. xiv+217 pp. ISBN: 0-521-44557-4
Temam, Roger Navier-Stokes equations and nonlinear functional analysis. Second edition. CBMS-NSF Regional Conference Series in Applied Mathematics, 66. Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 1995. xiv+141 pp. ISBN: 0-89871-340-4
Really, there is a Field's medal waiting for whoever solves this problem.
Stephen Montgomery-Smith firstname.lastname@example.org 307 Math Science Building email@example.com Department of Mathematics firstname.lastname@example.org University of Missouri-Columbia Columbia, MO 65211 USA