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A new proof of the Caffarelli-Kohn-Nirenberg theorem

✍ Scribed by Fanghua Lin

Publisher: John Wiley and Sons
Year: 1998
Tongue: English
Weight: 220 KB
Volume: 51
Category: Article
ISSN: 0010-3640
DOI: 10.1002/(sici)1097-0312(199803)51:3<241::aid-cpa2>3.0.co;2-a

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✦ Synopsis

Here we give a self-contained new proof of the partial regularity theorems for solutions of incompressible Navier-Stokes equations in three spatial dimensions. These results were originally due to Scheffer and Caffarelli, Kohn, and Nirenberg. Our proof is much more direct and simpler.

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