The Generalized Caffarelli‐Kohn‐Nirenberg Theorem for the Hyperdissipative Navier‐Stokes System

We introduce a notion of suitable weak solutions of the hyperdissipative Navier‐Stokes equations, and we achieve a corresponding extension of the regularity theory of Caffarelli‐Kohn‐Nirenberg. © 2019 Wiley Periodicals, Inc.

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Bibliographic Details
Published inCommunications on pure and applied mathematics Vol. 73; no. 3; pp. 609 - 663
Main Authors Colombo, Maria, De Lellis, Camillo, Massaccesi, Annalisa
Format Journal Article
LanguageEnglish
Published Melbourne John Wiley & Sons Australia, Ltd 01.03.2020
John Wiley and Sons, Limited
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Summary:We introduce a notion of suitable weak solutions of the hyperdissipative Navier‐Stokes equations, and we achieve a corresponding extension of the regularity theory of Caffarelli‐Kohn‐Nirenberg. © 2019 Wiley Periodicals, Inc.
ISSN:0010-3640
1097-0312
DOI:10.1002/cpa.21865