Journal of Nonlinear Science

, Volume 7, Issue 5, pp 475–502

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

  • J. M. Ball

DOI: 10.1007/s003329900037

Cite this article as:
Ball, J. J. Nonlinear Sci. (1997) 7: 475. doi:10.1007/s003329900037

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 L2.

Copyright information

© 1997 Springer-Verlag New York Inc.

Authors and Affiliations

  • J. M. Ball
    • 1
  1. 1.Mathematical Institute, University of Oxford, 24—29 St. Giles, Oxford OX1 3LB, UKGB