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On the interior regularity criteria and the number of singular points to the Navier-Stokes equations

✍ Scribed by Wendong Wang,Zhifei Zhang


Book ID
126363654
Publisher
Springer-Verlag
Year
2014
Tongue
English
Weight
510 KB
Volume
123
Category
Article
ISSN
0021-7670

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## Abstract We consider a suitable weak solution to the three‐dimensional Navier‐Stokes equations in the space‐time cylinder Ξ© Γ— ]0, __T__[. Let Ξ£ be the set of singular points for this solution and Ξ£ (__t__) ≑ {(__x, t__) ∈ Ξ£}. For a given open subset Ο‰ βŠ† Ξ© and for a given moment of time __t__ ∈]0