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Russian Mathematical Surveys, 2007, Volume 62, Issue 3, Pages 595–614
DOI: https://doi.org/10.1070/RM2007v062n03ABEH004415 (Mi rm6117) 		 
This article is cited in 29 scientific papers (total in 29 papers)

Local regularity for suitable weak solutions of the Navier–Stokes equations

G. A. Seregin

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
English version PDF (442 kB) Citations (29)
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DOI: https://doi.org/10.1070/RM2007v062n03ABEH004415
Abstract: A class of conditions sufficient for local regularity of suitable weak solutions of the non-stationary three-dimensional Navier–Stokes equations is discussed. The corresponding results are formulated in terms of functionals invariant with respect to the scaling of the Navier–Stokes equations. The well-known Caffarelli–Kohn–Nirenberg condition is contained in the class as a particular case.
Received: 30.09.2006
Russian version:
Uspekhi Matematicheskikh Nauk, 2007, Volume 62, Issue 3(375), Pages 149–168
DOI: https://doi.org/10.4213/rm6117
Bibliographic databases:
Document Type: Article
UDC: 517
MSC: Primary 35Q30; Secondary 35D10, 76D03, 76D05
Language: English
Original paper language: Russian
Citation: G. A. Seregin, “Local regularity for suitable weak solutions of the Navier–Stokes equations”, Uspekhi Mat. Nauk, 62:3(375) (2007), 149–168; Russian Math. Surveys, 62:3 (2007), 595–614
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/rm/v62/i3/p149
    • This publication is cited in the following 29 articles:
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    References:102
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