Date: 19 Dec 2007

A new proof of partial regularity of solutions to Navier-Stokes equations

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Abstract.

In this paper we give a new proof of the partial regularity of solutions to the incompressible Navier-Stokes equation in dimension 3 first proved by Caffarelli, Kohn and Nirenberg. The proof relies on a method introduced by De Giorgi for elliptic equations.