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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
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References:
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