Journal of Nonlinear Science

, Volume 7, Issue 5, pp 475-502

First online:

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

  • J. M. BallAffiliated withMathematical Institute, University of Oxford, 24—29 St. Giles, Oxford OX1 3LB, UK

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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 .