, Volume 7, Issue 5, pp 475-502

Continuity Properties and Global Attractors of Generalized Semiflows and the Navier-Stokes Equations

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The existence of a global attractor for the 3D incompressible Navier-Stokes equations is established under the (unproved) hypothesis that all weak solutions are continuous from \((0,\infty)\) to L 2 .

Received 28 October 1996; revised manuscript accepted for publication 16 January 1997