Numerical Analysis Seminars: A mathematical theory of experimental measurements in fluid flows
8 February 2002 14:00 in CM105
"Using the 2d Navier-Stokes equations as the basic model it is possible to show that instantaneous knowledge of the velocity at a finite number of points is sufficient to distinguish between any two "fully-developed" states. This result lies on recasting the Navier-Stokes equations as a dynamical system on a suitable infinite-dimensional phase space, and then using properties of the solutions that lie on the finite-dimensional global attractor (most importantly their analyticity). "
Contact David.Bourne@durham.ac.uk for more information