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Re: 21st Century 'Hilbert' problems
Posted:
Feb 7, 1999 9:21 PM
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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 stephen@math.missouri.edu
307 Math Science Building stephen@showme.missouri.edu
Department of Mathematics stephen@missouri.edu
University of Missouri-Columbia
Columbia, MO 65211
USA
Phone (573) 882 4540
Fax (573) 882 1869
http://math.missouri.edu/~stephen
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