Geodesic
Additional note on partial regularity of weak solutions of the Navier-Stokes equations in the class $L^\infty (0,T,L^3(\Omega )^3)$
Applications of Mathematics, Tome 48 (2003) no. 2, pp. 153-159

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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 $t_0\in (0,T)$.
DOI : 10.1023/A:1026046211510
Classification : 35B65, 35D10, 35Q10, 35Q30, 76D03, 76D05
Keywords: Navier-Stokes equations; partial regularity 
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Skalák, Zdeněk. Additional note on partial regularity of weak solutions of the Navier-Stokes equations in the class $L^\infty (0,T,L^3(\Omega )^3)$. Applications of Mathematics, Tome 48 (2003) no. 2, pp. 153-159. doi: 10.1023/A:1026046211510

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