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On the number of singular points of weak solutions to the Navier-Stokes equations

✍ Scribed by Gregory A. Seregin

Publisher
John Wiley and Sons
Year
2001
Tongue
English
Weight
71 KB
Volume
54
Category
Article
ISSN
0010-3640

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✦ Synopsis

Abstract

We consider a suitable weak solution to the three‐dimensional Navier‐Stokes equations in the space‐time cylinder Ω × ]0, T[. Let Σ be the set of singular points for this solution and Σ (t) ≡ {(x, t) ∈ Σ}. For a given open subset ω ⊆ Ω and for a given moment of time t ∈]0, T[, we obtain an upper bound for the number of points of the set Σ(t) ⋒ ω. © 2001 John Wiley & Sons, Inc.

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