Communications in Mathematical Physics

, Volume 110, Issue 4, pp 525–551

Nearly one dimensional singularities of solutions to the Navier-Stokes inequality

  • Vladimir Scheffer

DOI: 10.1007/BF01205547

Cite this article as:
Scheffer, V. Commun.Math. Phys. (1987) 110: 525. doi:10.1007/BF01205547


There exists a functionu satisfying (1)u is a weak solution to the Navier-Stokes equations of incompressible fluid flow in three-space with an external force that reduces the speed at every point, (2) the internal singularities ofu have Hausdorff dimension close to 1.

Copyright information

© Springer-Verlag 1987

Authors and Affiliations

  • Vladimir Scheffer
    • 1
  1. 1.Department of MathematicsRutgers UniversityNew BrunswickUSA