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StrongLp-solutions of the Navier-Stokes equation inRm, with applications to weak solutions

✍ Scribed by Tosio Kato


Publisher
Springer-Verlag
Year
1984
Tongue
French
Weight
494 KB
Volume
187
Category
Article
ISSN
0025-5874

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On the number of singular points of weak
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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