Partial regularity of solutions to the Navier-Stokes equations

Vladimir Scheffer

Vol. 66 (1976), No. 2, 535–552

DOI: 10.2140/pjm.1976.66.535

Abstract

At the first instant of time when a viscous incompressible fluid flow with finite kinetic energy in three space becomes singular, the singularities in space are concentrated on a closed set whose one dimensional Hausdorff measure is finite.

Mathematical Subject Classification 2000

Primary: 35Q99

Secondary: 35D10

Milestones

Received: 6 April 1976

Published: 1 October 1976