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

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Nonlinear Differential Equations and Applications NoDEA Aims and scope Submit manuscript

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.

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Authors and Affiliations

  1. Department of Mathematics, University of Texas at Austin, 1 University Station C1200, Austin, TX78712-0257, USA

    Alexis F. Vasseur

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  1. Alexis F. Vasseur
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Correspondence to Alexis F. Vasseur.

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This work was supported in part by NSF Grant DMS-0607953.

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Vasseur, A.F. A new proof of partial regularity of solutions to Navier-Stokes equations. Nonlinear differ. equ. appl. 14, 753–785 (2007). https://doi.org/10.1007/s00030-007-6001-4

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  • DOI: https://doi.org/10.1007/s00030-007-6001-4

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