On smoothness of suitable weak solutions to the navier-stokes equations

G. Seregin; V. Sverak

doi:10.1007/s10958-005-0383-9

On smoothness of suitable weak solutions to the navier-stokes equations

G. Seregin, V. Sverak

Mathematics

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

5 Scopus citations

Abstract

We prove two sufficient conditions for local regularity of suitable weak solutions to the three-dimensional Navier-Stokes equations. One of these conditions implies the smoothness of L_3,∞-solutions as a particular case.

Original language	English (US)
Pages (from-to)	4884-4892
Number of pages	9
Journal	Journal of Mathematical Sciences
Volume	130
Issue number	4
DOIs	https://doi.org/10.1007/s10958-005-0383-9
State	Published - Oct 2005

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title = "On smoothness of suitable weak solutions to the navier-stokes equations",

abstract = "We prove two sufficient conditions for local regularity of suitable weak solutions to the three-dimensional Navier-Stokes equations. One of these conditions implies the smoothness of L3,∞-solutions as a particular case.",

author = "G. Seregin and V. Sverak",

year = "2005",

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T1 - On smoothness of suitable weak solutions to the navier-stokes equations

AU - Seregin, G.

AU - Sverak, V.

PY - 2005/10

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N2 - We prove two sufficient conditions for local regularity of suitable weak solutions to the three-dimensional Navier-Stokes equations. One of these conditions implies the smoothness of L3,∞-solutions as a particular case.

AB - We prove two sufficient conditions for local regularity of suitable weak solutions to the three-dimensional Navier-Stokes equations. One of these conditions implies the smoothness of L3,∞-solutions as a particular case.

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EP - 4892

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

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On smoothness of suitable weak solutions to the navier-stokes equations

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