Article
MSC:
35B65,
35D10,
35Q10,
35Q30,
76D03,
76D05 | MR 1966346 | Zbl 1099.35089 | DOI: 10.1023/A:1026046211510
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Keywords:
Navier-Stokes equations; partial regularity
Navier-Stokes equations; partial regularity
Summary:
We present a simplified proof of a theorem proved recently concerning the number of singular points of weak solutions to the Navier-Stokes equations. If a weak solution ${\mathbf u}$ belongs to $L^\infty (0,T,L^3(\Omega )^3)$, then the set of all possible singular points of ${\mathbf u}$ in $\Omega $ is at most finite at every time $t_0\in (0,T)$.
References:
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