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


DOI: 10.1007/s00030-007-6001-4

Cite this article as:
Vasseur, A.F. Nonlinear differ. equ. appl. (2007) 14: 753. doi:10.1007/s00030-007-6001-4


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.

2000 Mathematics Subject Classification:

MSC 35Q30 76D03 76D05 


Navier-Stokes Regularity De Giorgi energy method 

Copyright information

© Birkhaueser 2007

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of Texas at AustinAustinUSA

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