New sufficient conditions of local regularity for solutions to the Navier-Stokes equations

Alex Mahalov; B. Nicolaenko; G. Seregin

doi:10.1007/s00021-006-0220-z

New sufficient conditions of local regularity for solutions to the Navier-Stokes equations

Alex Mahalov, B. Nicolaenko, G. Seregin

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

New sufficient conditions of local regularity for suitable weak solutions to the non-stationary three-dimensional Navier-Stokes equations are proved. They contain the celebrated Caffarelli-Kohn-Nirenberg theorem as a particular case.

Original language	English (US)
Pages (from-to)	106-125
Number of pages	20
Journal	Journal of Mathematical Fluid Mechanics
Volume	10
Issue number	1
DOIs	https://doi.org/10.1007/s00021-006-0220-z
State	Published - Mar 2008

Keywords

Local regularity
Navier-Stokes equations
Suitable weak solutions

ASJC Scopus subject areas

Mathematical Physics
Condensed Matter Physics
Computational Mathematics
Applied Mathematics

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10.1007/s00021-006-0220-z

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title = "New sufficient conditions of local regularity for solutions to the Navier-Stokes equations",

abstract = "New sufficient conditions of local regularity for suitable weak solutions to the non-stationary three-dimensional Navier-Stokes equations are proved. They contain the celebrated Caffarelli-Kohn-Nirenberg theorem as a particular case.",

keywords = "Local regularity, Navier-Stokes equations, Suitable weak solutions",

author = "Alex Mahalov and B. Nicolaenko and G. Seregin",

note = "Funding Information: The work was supported by the CRDF grant RU-M1-2596-",

year = "2008",

month = mar,

doi = "10.1007/s00021-006-0220-z",

language = "English (US)",

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T1 - New sufficient conditions of local regularity for solutions to the Navier-Stokes equations

AU - Mahalov, Alex

AU - Nicolaenko, B.

AU - Seregin, G.

N1 - Funding Information: The work was supported by the CRDF grant RU-M1-2596-

PY - 2008/3

Y1 - 2008/3

N2 - New sufficient conditions of local regularity for suitable weak solutions to the non-stationary three-dimensional Navier-Stokes equations are proved. They contain the celebrated Caffarelli-Kohn-Nirenberg theorem as a particular case.

AB - New sufficient conditions of local regularity for suitable weak solutions to the non-stationary three-dimensional Navier-Stokes equations are proved. They contain the celebrated Caffarelli-Kohn-Nirenberg theorem as a particular case.

KW - Local regularity

KW - Navier-Stokes equations

KW - Suitable weak solutions

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New sufficient conditions of local regularity for solutions to the Navier-Stokes equations

Abstract

Keywords

ASJC Scopus subject areas

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