Beirão da Veiga, H. Remarks on the smoothness of the \(L^\infty(0,T;L^3)\) solutions of the 3-D Navier-Stokes equations. (English) Zbl 0896.35102 Port. Math. 54, No. 4, 381-391 (1997). Summary: We consider the \(L^\infty(0,T; L^3(\Omega))\) solutions of the Navier-Stokes equations, where \(\Omega\) is a domain of \(\mathbb{R}^3\). We give a very simple proof of a sufficient condition for regularity of solutions. This condition contains, as a quite particular case, continuity from the left on \((0, T]\) with values in \(L^3(\Omega)\). Cited in 10 Documents MSC: 35Q30 Navier-Stokes equations 35B65 Smoothness and regularity of solutions to PDEs 35K55 Nonlinear parabolic equations 76D05 Navier-Stokes equations for incompressible viscous fluids Keywords:Navier-Stokes equations; regularity PDFBibTeX XMLCite \textit{H. Beirão da Veiga}, Port. Math. 54, No. 4, 381--391 (1997; Zbl 0896.35102) Full Text: EuDML