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Additional note on partial regularity of weak solutions of the Navier-Stokes equations in the class $$L^\infty (0,T,L^3(\Omega )^3)$$. (English) Zbl 1099.35089
Weak solutions to the classical nonhomogeneous Navier-Stokes problem in a bounded domain $$\Omega \subset \mathbb R^3$$ are considered. A simplified proof of a recent theorem estimating the number of singular points of any weak solution from $$L^\infty (0,T,L^3(\Omega )^3)$$ is given.
##### MSC:
 35Q30 Navier-Stokes equations 35D10 Regularity of generalized solutions of PDE (MSC2000) 76D03 Existence, uniqueness, and regularity theory for incompressible viscous fluids 76D05 Navier-Stokes equations for incompressible viscous fluids
##### Keywords:
Navier-Stokes equations; partial regularity
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##### References:
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