Rojas-Medar, M. A.; Boldrini, J. L. Spectral Galerkin approximations for the Navier-Stokes equations: Uniform in time error estimates. (English) Zbl 0788.76063 Rev. Mat. Apl. 14, No. 2, 63-74 (1993). Summary: We derive uniform in time optimal \(H^ 1\) and \(L^ 2\) error estimates for the spectral Galerkin approximations for the nonstationary Navier- Stokes equations. This is done without explicitly assuming exponential stability for a class of solutions corresponding to decaying external force fields. Cited in 7 Documents MSC: 76M25 Other numerical methods (fluid mechanics) (MSC2010) 76D05 Navier-Stokes equations for incompressible viscous fluids 65N15 Error bounds for boundary value problems involving PDEs 35Q30 Navier-Stokes equations Keywords:optimal error estimates; exponential stability; decaying external force fields PDFBibTeX XMLCite \textit{M. A. Rojas-Medar} and \textit{J. L. Boldrini}, Rev. Mat. Apl. 14, No. 2, 63--74 (1993; Zbl 0788.76063)